This prism has a right triangle for a base. What is the volume of the prism?

This Prism Has A Right Triangle For A Base. What Is The Volume Of The Prism?

Answers

Answer 1

length = 6 x 1/3 = 2 inches

width = 4 x 1/3 = 4/3 inches

height = 8 x 1/3 = 8/3 inches

 

volume = lwh = 2 x 4/3 x 8/3 = 64/9 cubic inches

 

Another approach is the following:

 

There are 6 x 4 x 8 = 192 cubes inside the prism,.

Each cube has a volume of 1/27 cubic inches.

 

Therefore total volume = 192 x 1/27 = 192/27 = 64/9


Related Questions

help please i need it

Answers

Answer:

Around 140

Step-by-step explanation:

It's over 90 degree angle

f(x)=x². What is g(x)?
A. g(x) = 2x²
B. g(x) = (½x)²
C. g(x) = (4x)²
D. g(x) = (2x)²

Answers

C is the correct answer

Answer:

g(x) = (2x)²

Step-by-step explanation:

Jina has scored 79, 85, 89 and 68 on her previous four tests. What score does she need on her next test so that her mean is 80?

Answers

Answer:

79

Step-by-step explanation:

79, 85, 89, 68 have a mean of 80.25 according to calculator.net. the number itself Is close to the number you want, in this case 80, i input 80, but it gave me a score of 80.2, so i tried again with 81, it gave me a score of 80.4, so the third attempt was successful with 79 being the input and 80 the output

calculator.net is approved on my school computer so there is a chance it is on yours as well.

30 POINTS I WILL GIVE U BRAINLIEST AND THANKS AND 5 STARS please help this is very important this is a big part of my grade

Answers

Answer:

[tex]1.\:2^x=64, x=\boxed{6},\\2.\:x=\left(\frac{2}{3}\right)^3,x=\boxed{\frac{8}{125}}\\3.\:3\cdot (3^4)=3^x, x=\boxed{5}\\4.\:\frac{16}{25}=x^2,x=\boxed{\frac{4}{5}},[/tex]

Step-by-step explanation:

[tex]1.\\\\2^x=64,\\\log 2^x=\log64,\\x\log 2=\log 64,\\x=\frac{\log 64}{\log 2}=\boxed{6}[/tex]

[tex]2.\\x=\left(\frac{2}{5}\right)^3=\frac{2^3}{5^3}=\boxed{\frac{8}{125}}[/tex]

3. This problem incorporates an exponent property.

Exponent property used: [tex]a^b\cdot a^c=a^{(b+c)}[/tex], yielding an answer of [tex]\boxed{5}[/tex]

[tex]4.\\\\\frac{16}{25}=x^2,\\x=\sqrt{\frac{16}{25}}=\frac{\sqrt{16}}{\sqrt{25}}=\boxed{\frac{4}{5}}[/tex]

Answer:

1. 6

2. 8/25

3. 5

4. 4/5

Step-by-step explanation:

What is the answer?
It says i should put it in the order and which one comes first

Answers

Answer:

B. -11

Step-by-step explanation:

ascending order means least to greatest.

-10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7,...

3, -1, [tex]\sqrt{5}[/tex], 13, -11

-11 is the least number because it is the greatest negative number

JK is J(-3 9) and K(5 -1), if LM is perpendicular to JK, what is the slope of LM?

Answers

Answer: 4/5

Step-by-step explanation:

In this diagram, radius AD = 5 mm, radius BD = 12 mm and chord

CD = 8 mm. Find the exact length of AB, in surd form.

Answers

Answer:

The exact length of AB is [tex]3 + 4\sqrt{10}[/tex] milimeters.

Step-by-step explanation:

Both triangles ACD and BCD are isosceles and triangles AEC, ADE, BDE and BCE are right-angled, where E is the point where line segments AB and CD meet each other. We can determine the exact length of AB by means of two horizontal right triangles (i.e. AEC, BCE) and the Pythagorean Theorem:

[tex]AB = \sqrt{AC^{2}-CE^{2}}+\sqrt{CB^{2}-CE^{2}}[/tex]

If we know that [tex]AD = AC[/tex], [tex]BC = BD[/tex], [tex]AC = 5\,mm[/tex], [tex]BC = 12\,mm[/tex] and [tex]CE = 4\,mm[/tex], then the exact length of AB is:

[tex]AB = \sqrt{(5\,mm)^{2}-(4\,mm)^{2}}+\sqrt{(12\,mm)^{2}-(4\,mm)^{2}}[/tex]

[tex]AB = 3 + 4\sqrt{10}\,[mm][/tex]

SOMEONE PLEASE HELP ME! I promise i will mark brainlest, but i need the right answer for this. help is much appreciated <3

Answers

Answer:

I say A or B but in favor A

Step-by-step explanation:

Look at the picture

Answers

Its d because 16/12=1.33 same with 20/15 and 40/30 so its 24x1.33 which is 32 there for d is correct

Classify the triangle by its angle measures.

Answers

Answer:

d) Acute

Step-by-step explanation:

if all three angle measures are less than 90 degrees, the triangle is acute

If the ray ML makes an angle measuring 2 radians with the ray MN, and the length of the arc intercepted by the angle is 72 inches, what is the radius of the window?

Answers

Answer:

36 inches

Step-by-step explanation:

From the diagram attached,

Applying

s = 2πr∅/360

Where s = lenght of the arc, r = radius of the window, ∅ = angle formed in degree, π = pie.

make r the subject of the equation

r = 360s/2π∅................... Equation 2

From the question,

Given: s = 72 inches, ∅ = 2 radians = 114.6°

Constant: 3.14

Substitute these values into equation 2

r = (360×72)/(114.6×3.14×2)

r = 25920/719.688

r = 36 inches

Find the center and radius of a circle with the equation x² + y2 +6x–8y +16= 0.
a. (-3, 4);r=3
b. (3,-4);r=3
c. (-3, 4);r=9
d. (3,-4);r=9

Answers

The answer would be (3,-4);r=3

Please help me with the question.

Answers

Answer:b have a good day/night

i need points srry

Step-by-step explanation:

Help please I don’t understand this

Answers

Answer:

c

Step-by-step explanation:

what is the missing side-

Answers

Answer:

did u try looking it up lol?

Step-by-step explanation:

What is the solution to the system of equations below?


2 x + y = 7 3 x + 2 y = 16

Answers

Answer:

2x+y=7; 3x+2y=16

X = -2

Y = 11

One leg of a right triangle is 24. What is the length of the other leg if the hypotenuse is 25?

Answers

Answer:

Hello! answer: 7

Step-by-step explanation:

24 × 24 = 576

7 × 7 = 49

576 + 49 = 625

√625 = 25

therefore the missing leg is 7

Recursive formula for
-4,3,10,17

Answers

Answer:

Recursive:

Step-by-step explanation:

Common difference ( d ):   17 - 10 = 7

Recursive Arithmetic:

[tex]a_n = a_{n-1} + d[/tex]

[tex]a_n = a_{n-1} + 7[/tex]

[tex]a_1 = -4[/tex]

Hopefully this helped!

G
100%
Calculate the area of the parallelogram, in mề.
40 m
15 m
25 m
10 m
30 m
A. 250 m2
B. 450 m2
OC. 600 m²
OD. 900 m²
O E. 1000 m​

Answers

Answer:

C. 600 m²

Step-by-step explanation:

A parallelogram is a quadrilateral (has four sides and four angles) with two pairs of parallel sides. Opposite sides and angles of a parallelogram are equal to each other. Also, the diagonals are equal.

The area of a parallelogram is the product of its base and its height. It is given by the formula:

Area = base * height

We can see that for this parallelogram, the height = 15 m, the base = 40 m, hence:

Area = base * height = 40 m * 15 m = 600 m²

Help me with this please

Answers

Answer:

F'

Your answer is correct

Step-by-step explanation:

The image most of the time we will put ' prime on it to let the other know that this is the image

In the figure below, find the exact value of x. (Do not approximate your answer.)
3

Answers

Answer:

Step-by-step explanation:

use the idea of similar triangles.

6/3 = 3/x

2x = 3

x = 3/2

What is the circumference of this circle
R=2km

Answers

Answer:

12.57

Step-by-step explanation:

The formula is

2 (pie) r

2(pie)2

which would equal 12.57

What is the y-intercept of the line shown?
69
5-
4
3-
2-
1-
0
-4
-3
- 2
0
1
2
3
4
5
3
4

Answers

The answer should be 5

Amy buys eight apples that each weigh 150 grams. She notices that they are on sale for $3.00 per kilogram, how much will the apples cost? Prove your thinking.

Answers

Answer:

$3.60

Step-by-step explanation:

8 apples × 150 grams

1200 grams

1 kilogram = 1000 grams

x. = 1200 grams

X = 1.2 kg

1kg = $3.00

1.2kg =$3.6

The cost of 8 apples that have weight 1.2 kilograms is,

⇒ $3.60

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Amy buys eight apples that each weigh 150 grams.

And, She notices that they are on sale for $3.00 per kilogram.

Now,

Total weight of the apples is,

⇒ 8 × 150 grams

⇒ 1200 grams

⇒ 1.2 kilograms

Since, She notices that they are on sale for $3.00 per kilogram.

Hence, The cost of 8 apples that have weight 1.2 kilograms is,

⇒ $3.00 × 1.2

⇒ $3.60

Thus, The cost of 8 apples that have weight 1.2 kilograms is,

⇒ $3.60

Learn more about the multiplication visit:

https://brainly.com/question/10873737

#SPJ3

is each pair of lines parallel perpendicular or neither​

Answers

Answer:

perpendicular, parallel, neither, parallel

Overnight the temperature in Chicago was -7F but by noon it had risen to 9 degrees F. What was the temperature in Chicago that afternoon?

Answers

Answer:

2 °F

Step-by-step explanation:

Overnight temperature = -7 °F

Total Noon temperature = 9 °F

What was the temperature in Chicago that afternoon?

Temperature in Chicago that afternoon = Total Noon temperature + Overnight temperature

= 9 °F + (-7 °F)

= 9 °F - 7 °F

= 2 °F

Temperature in Chicago that afternoon = 2 °F

PLS HELP ILL MARK AS BRAINLIST AND FOLLOW U

Answers

Answer:

[tex]31\:\text{square units}[/tex]

Step-by-step explanation:

We can break the composite figure into two triangles and two trapezoids. The area of a triangle is given by [tex]A=\frac{1}{2}bh[/tex] and the area of a trapezoid is given by [tex]A=\frac{b_1+b_2}{2}\cdot h[/tex] (average of the bases multiplied by the height).

Area of first triangle (larger triangle to the figure's left): [tex]\frac{1}{2}\cdot 4\cdot 4=8[/tex]

Area of second triangle (smaller triangle to the figure's right ): [tex]\frac{1}{2}\cdot 2\cdot 5=5[/tex]

Area of first trapezoid (smaller trapezoid directly underneath second triangle and adjacent to both triangles): [tex]4\cdot 2 =8[/tex]

Area of first triangle (larger triangle to the figure's left): [tex]5\cdot 2=10[/tex]

Thus, the area of the entire figure is:

[tex]8+5+8+10=\boxed{31\:\mathrm{units^2}}[/tex]

8
Which of the following is a composite number between 80 and 100?
OA. 81
OB. 89
OC. 83
OD. 97

Answers

Answer:

OA. 81

Step-by-step explanation:

A composite number is a positive integer that can be formed by multiplying two smaller positive integers.

81 = 9 x 9

81 = 3 x 27

An article is bought for Rs 8600 and is sold at a profit of 20 %. Find its selling price.

Answers

Selling price = 8600 + Profit

Selling price = 8600 + ( 8600 × 20/100 )

Selling price = 8600 + ( 86 × 20 )

Selling price = 8600 + 1720

Selling price = Rs 10,320

A closed rectangular box whose dimensions are 8 feet by 5 feet by 3 feet has some water in it. When the box is resting on its smallest face, the water is 5 feet deep. How deep will the water be if the box is resting on its largest face? Explain your reasoning.

Answers

Answer:

i, 1.875 ft

ii. Since the volume of water is the same when resting on either the smallest or largest face, we we equate the expression for their volume and solve for the depth of water when the closed rectangular box is resting on its largest face.

Step-by-step explanation:

i. How deep will the water be if the box is resting on its largest face?

Since the smallest face is 5 feet by 3 feet (since they are the smallest dimensions), the volume of the 5 feet deep water is V = Ah where A = area of smallest face and h = depth of water.

V = Ah = 5 ft × 3 ft × 5 ft = 75 ft³

This is also the volume of the water when it is resting on its largest face.

Since the dimensions of the largest face are 8 feet by 5 feet (since they are the largest dimensions), then V = A'h' where A' = area of largest face and h' = depth of water when rectangular box is resting on its largest face

So, h' = V/A'

= 75 ft³/ (8 ft × 5 ft)

= 15/8 ft

= 1.875 ft

ii, Explain your reasoning.

Since the volume of the water in the closed rectangular box is always the same, which ever side we turn it to, its volume V = area of face × height. If we write this expression for both the smallest and largest face and equate them, we solve for the depth of the water when it is resting on its largest face, since, we already know the depth of water when it is resting on its smallest face.

Other Questions
11) What name is given to any cell that is produced after cell division?OA.) daughter cellOB.) parent cell A frame which is used for ecological sampling **PIC INCLUDED**What is the total paymentrequired to pay off a promissorynote issued for $500.00 at 10%ordinary interest and a 180-dayterm? The electric field of a negative infinite line of charge: Group of answer choices Points perpendicularly away from the line of charge and decreases in strength at larger distances from the line charge Points parallel to the line of charge and decreases in strength at larger distances from the line charge Points parallel to the line of charge and increases in strength at larger distances from the line charge Points perpendicularly away from the line of charge and increases in strength at larger distances from the line charge Points perpendicularly toward the line of charge and increases in strength at larger distances from the line charge Points perpendicularly toward the line of charge and decreases in strength at larger distances from the line charge What is the pH of a solution with an H3O+ concentration of 5.67 x 10-4 M?a. 1.00b. 3.25C. -1.00d. -3.25 How does Bottom act when he rejoins the workmen at Quinces house? HELP PLS +10 BRAINLY POINTS (SHOW WORK PLS) Please help me with this help with full calculations Why do I want to go to therapy? Write the formulas for each of the compounds in the following table.1.Ferric sulfate2.Strontium oxalate3.Chromic acid4.Nickel(III) carbonate5.Silver bromate6.Dinitrogen difluoride1.Magnesium molybdate8.Sodium hydrogen phosphate Record yourself giving a performance of as much of "Questions From a Child" as you can in Spanish. Review the story for a fewminutes if you need, and when you are ready, just click on the record button. You can review your performance by clickingREPLAY.HELP MEEEE PLZ!! helppppppp no links or anything, please give the answer PLS HELP 30 POINTSIn the nineteenth century, political leaders Victor Emmanuel and Prime Minister Count Camillo Cavour fought for national unity of Italy. What type of nationalism is this an example of?bipartisan nationalismeconomic nationalismcivic nationalismpopular nationalism What physically happens to teen brains that make it difficult for someone like Gary to weigh risk and reward? What times 4 gives me 1/5 A spring with a spring constant of 2.5 N/m is stretched by 0.2 m. What is the potential energy in the spring beth walks 8 miles in 120 minutes. assume beth maintains a constant speed. what is the number of miles beth walked in one hour? i need helppp!! Select the elements of a perfect paragraph.topic sentencenew subjects introduced in each sentenceall sentences relate to topicparagraph has a specific purposecoherence If 8 bags of grapes cost $20.00, how much do 3 bags of grapes cost?