Mathematics College

A rectangular prism is made of 81 unit cubes. The prism is 9 unit cubes long.

Choose two sets of numbers that could be the width and the height of the rectangular prism.

A width: 3 unit cubes

height 3 unit cubes

Width 6 unit cubes

height 12 unit cubes

Cwidth: unit cubes

height 7 unit cube

width: 18 unit cubes

height 4 unit cubes

OE with 24 unit cubes

height 3 unit cubes

Answers

Answer 1

Answer:

A width: 3 unit cubes

height 3 unit cubes

Step-by-step explanation:

Volume of rectangular prism = 81 unit cubes

[tex]l[/tex] = Length of rectangular prism = 9 unit cubes

[tex]w[/tex] = Width of rectangular prism

[tex]h[/tex] = Height of rectangular prism

Volume of a rectangular prism is given by

[tex]V=lwh\\\Rightarrow 81=9wh\\\Rightarrow wh=\dfrac{81}{9}\\\Rightarrow wh=9[/tex]

The product of width and height must be 9 so from the options this is only possible when width and height both are 3 units.

So, the width is 3 unit cubes and the height is 3 unit cubes.

Related Questions

Enter an equation that represents the data in the table.

x 3 5 8 10
y 15 25 40 50

An equation is y

Answers

Answer:

y=5x

Step-by-step explanation:

3 x 5

5 x 5 and so forth

PLEASE HELP FAST!!! **20 POINTS**

Answers

Answer: constant of proportionately is 0.66 repeating. (I think)

what is the probability

Answers

Answer:

Probability in Maths:-

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. Probability has been introduced in Maths to predict how likely events are to happen.

Formula for Probability:-

The probability formula is defined as the possibility of an event to happen is equal to the ratio of the number of favourable outcomes and the total number of outcomes.

Probability of event to happen P(E) = Number of favourable outcomes/Total Number of outcomes

Probability refers to a possibility that deals with the occurrence of random events also can be state as all the events occurring need to be 1.

What is the Probability in Maths?

Probability means possibility. This is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.It has been introduced in Maths to predict how likely events are to happen.

Formula for Probability:-

This can be defined as the possibility of an event to happen is equal to the ratio of the number of favourable outcomes and the total number of outcomes.

Here Probability of event to happen can be written as;

P(E) = Number of favourable outcomes/Total Number of outcomes

Learn more about probability here;

https://brainly.com/question/9326835

#SPJ2

Emily has 4 1/2 cups of chocolate chips. Her cookie recipe requires 3/4 cup of chocolate chips. How many batches of cookies can Emily make?

Answers

Answer:

There are 6 batches of chocolate chip cookies that can be made.

Step-by-step explanation:

First, turn 4 1/2 cups into an improper fraction with a denominator of 4 (which is 18/4). Then, do 18/4 divided by 3/4 (or 18/4 times 4/3 and both 4s cancel). The result is 18/3 or 6 because 3 times 6 equals 18.

ILL GIVE BRAINLIST I ONLY HAVE 1O MINUTES

Describe how changing each part of y=a/x−b+c changes the graph
a:
b:
c:

Answers

Answer:

Step-by-step explanation:

I am sorry that I might not be able help you, just try and sound smart while saying if u change a then the value of a/x would change, thus changing everything because the fraction in which you are using in this situation would be different. And for b be like the difference between the numbers would be different and c the product. Idek if this is what the question is asking. lol

Answer:

1.9 is the multiplier.

Step-by-step explanation:

I picked a random number (6) and times it by .90. Then, I added my result to 6. I then divided six by my result to get the multiplier.

Is this 40%? If not, what's the answer? Thanks!

Answers

Answer:

It is!

Hope this Helps!

Yes it is 40% each square is 20

5
Select ALL the correct answers.
Select all the statements that are true for the following systems of equations.
System A
2x - 3y = 4
4x - y = 18
System B
3x - 4y= 5
y = 5x + 3
System C
2x - 3y = 4
12x - 3y = 54
Systems A and C have the same solution.
Systems A and B have different solutions.
ООООО
Systems B and C have the same solution.
System C simplifies to 2x - 3y = 4 and 4x - y = 18 by dividing the second equation by three.
All three systems have different solutions
Reset
Next

Answers

Answer:

I didnt get all of them but A and C are the same and A and B are different

Step-by-step explanation:

Find the slope of the line

Answers

Answer:

4/5

Step-by-step explanation:

y2-y1/x2-x1. (5,3), (0,-1).

-1-3/0-5.

-4/-5

4/5

Therefore, slope=4/5

If this helps please mark as brainliest

Answer:

4/5

Step-by-step explanation:

Pick a point and call that A; the other point is B.

Take the Y part of B (the second number in the pair) and subtract the Y part of A.

3 - -1 = 4

Then, do the same thing but with the X (the first number in the pair)

so take the X part of B and subtract the X part of A.

5 - 0 = 5

and then put the 4 over the 5to get 4/5.

What are the solutions to the equation x2 + bx+c=0?

Answers

Answer:

Find the complex solutions using the quadratic formula.

−

√

−

√

−

Step-by-step explanation:

I think it’s the third one

Answers

It’s third to the one

Answer:

answer s the second one

Step-by-step explanation:

Trust me it's the correct answer

5x2 + 4

Convert to standard form. 4 hundred thousand 16 thousands 4 hundred 21 tens 12 ones

Answers

Step-by-step explanation:

A rectangular shape of dimension 95m by 75m is drawn to a scale of 1cm to 10m find the area

Answers

Answer:

71.25

Step-by-step explanation:

plz press thanks. thank you

PLEASE HELP. Consider the following equation -(3/2)^x +12=2x-3 Approximate the solution to the equation above using three iterations of successive approximation use the graph below as a starting point

Answers

Answer:

71/16

Step-by-step explanation:

I got it right on edmentum. Good luck with the rest of you quiz or test

Thank you top answer!

Lowest common multiple for 3ab; 6b2; 7a3b

Answers

Answer:

L.C.M = 2 × 7 = 14

Step-by-step explanation:

3ab = 3 × a × b

6b² = 2 × 3 × b × b

7a³b = 7 × a × a × a × b

L.C.M = 2 × 7 = 14

Thus, Lowest common multiple for 3ab; 6b²; 7a³b is 14

-TheUnknownScientist

The answer is L.C.M = 2 x 7 = 14

Danika bought a kit to build a scale model of a lighthouse. The scale of the model is 1 /2 inch = 4 feet. The real lighthouse is 75 feet tall. How tall will the model lighthouse bee ?

Answers

Answer:

18.75 or 18 and 3/4

Step-by-step explanation:

I did this btw

pedro's car averaged 957 miles on its 29-gallon tank of gas. If pedro runs out of gas and a mechanical comes to his rescue with 2 3/4 gallons of gas, determine how far his car can go. Round to the nearest

Answers

Answer:

His car can go 90.75 miles.

Step-by-step explanation:

We solve this question using proportions.

Pedro's car averaged 957 miles on its 29-gallon tank of gas.

This means that per gallon, his car can go:

957/29 = 33 miles.

2 3/4 gallons of gas

[tex]2 + \frac{3}{4} = 2 + 0.75 = 2.75[/tex] gallons.

Determine how far his car can go.

For each gallon, the car goes 33 miles. He has 2.75 gallons, so his car can go 33*2.75 = 90.75.

His car can go 90.75 miles.

Fully factories thus expression

4h + 12

Answers

Answer:

4(h+3)

Step-by-step explanation:

4h+12

Rewriting as

4h+4*3

Factor out the 4

4(h+3)

Answer:

4(h+3)

Step-by-step explanation:

What would the answer be for this equation? 3a^3b^2x2a^2b^5

Answers

9514 1404 393

Answer:

6a^5b^7

Step-by-step explanation:

The applicable rule of exponents is ...

(a^b)(a^c) = a^(b+c)

It looks like you want to simplify ...

[tex]3a^3b^2\times 2a^2b^5=(3\cdot2)a^{3+2}b^{2+5}=\boxed{6a^5b^7}[/tex]

Answer:

6a^5b^7

Step-by-step explanation:

The applicable rule of exponents is ...

Answer:

∞ and n = 1

Step-by-step explanation:

The interval of convergence for the power series :

= ∞ and n = 1

summation of the product of negative n factorial and x^n = ∑ -n! * xⁿ

Interval : ∞ , n = 1

And the test that can be carried out here to test for the convergence or divergence of the power series is called Integral test

Can someone please simplify 1.50 for me please

Answers

Answer:

Step-by-step explanation:

1.5^0 = 1

Any number to the zero power is equal to 1

Answer:

50 is already in the simplest form

Step-by-step explanation:

Steps to simplifying fractions

Divide both the numerator and denominator by the GCD

1 ÷ 1

50 ÷ 1

Reduced fraction:

Therefore, 1/50 simplified to lowest terms is 1/50.

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