what is the lateral surface area of the solid (options in picture) please help!
Answers
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Explanation:
The base faces are the two triangles that are parallel to one another. We'll be ignoring those faces when computing the lateral surface area.
Instead, we focus on the three rectangles that form the sides. We can think standing the prism on one of the triangular faces, so that one triangle is the floor and the other triangle is the ceiling. The rectangular pieces are the walls of this room.
The bottom rectangle is 8 cm by 16 cm, so it has area 8*16 = 128 sq cm.The rectangle on the right is 6 cm by 16 cm, so it has area of 6*16 = 96 sq cm.The rectangle on the left is 6 cm by 16 cm, so it has area 6*16 = 96 sq cm.The three areas then combine to 128+96+96 = 320 square cm which is the lateral surface area.
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As a different approach, we can use this formula
LSA = p*h
where LSA is the lateral surface area, p is the perimeter of the base polygon, h is the height of the prism.
The base triangle has sides of 8, 6 and 6. So the perimeter is p = 8+6+6 = 20 cm. The height is h = 16 cm. The LSA is therefore,
LSA = p*h = 20*16 = 320 square cm.
Related Questions
Please help me I will really appreciate it is a Question and there are 4 answers which one of them is right ✅
Answers
Answer:
A. 4:16
Step-by-step explanation:
4*1: 4*4
4:16
Answer:
A
Step-by-step explanation
a trick you can use is to divide
Would someone help me solve for x?
Answers
Answer:
x=-7
Step-by-step explanation:
(x+59)+(x+51)+84=180 180-84=96
(x+59)+(x+51)=96 2x+110=96
2x=-14
-7+59=52 -7+51=44
52+44+84=180
1015
Why is
equal to 1011?
104
Answers
Represent
2/3
on the number line.
Answers
Answer:
2/3 lies between 0 and 1 on the number line.
Step-by-step explanation:
2/3 is a positive rational number, and it is known that 2/3 is less than 1 and greater than 0.
In a race , Ram covers 5 km in 20 min. How much distance will he cover in 100 min ?
( for CookieNeko )
Answers
Answer: hewo is meh hey chu am sorry but i wont be able to text here no more :{ sorry is just my parents wont let me text here and i don't think theres any other app i can text the only one is remind :0 sorry i hope we can text again :{
Step-by-step explanation: i just wish i could get out of my parents rules :P
Which figure best represents a kite?
A figure with 1 pair of parallel sides.
A figure with 2 pairs of parallel sides with the different lengths.
A square.
A kite.
Answers
Answer:
4th one: A kite is the answer.
Is The boundary line for the inequality y < -7/3x - 3 is a solid line.
Answers
Answer:
Step-by-step explanation:
No. Only if the inequality symbol < were replaced with =, ≤ or ≥, would the boundary line be a solid line.
1. Consider the inequality x + 3x + 1
6 4
Which value of x is a solution to the inequality?
A. -10
B. -6
C. 10
D. 6
Answers
Answer:
C. 10
Step-by-step explanation:
Simplify
x+3x+1
Combine Like Terms:
=x+3x+1
=(x+3x)+(1)
=4x+1
Answer:
=4x+1
Ballio is 12 4/5 years old. Bill is 1 1/6 years older than Ballio and Jane is 1 1/3 years older than Bill. How old is Jane?
Answers
Answer:
15 3/10 years
Step-by-step explanation:
Ballio age = 12 4/5
Bill's age = Ballio's age + 1 1/6
Bills age = 12 4/5 + 1 1/6 = 64/5 + 7/6 = (384 + 35) / 30 = 419 / 30 = 13 29/30
Jane's age :
13 29/30 + 1 1/3
419 / 30 + 4 /3 = (419 + 40) / 30 = 459 / 30 = 15 9/30
15 9/30 = 15 3/10 years
please help me solve this thanks
Answers
Answer:
-206
Step-by-step explanation:
The expression got 2 unknown, since the value of the two unknown is also given, what you need to do is to substitute x = -10, y = 1/5 into the expression,
= 3(-10)/25(1/5) - 10(-10)^2(1/5)
= -6 -200
= -206
State all integer values of x in the interval {-4,1} that satisfy the following inequality: 2x-9> -15
Answers
Answer:
maybe 3
Step-by-step explanation:
5/10 is equal to
5/1
1/5
1/2
4/5
Answers
Answer:
1/2
Step-by-step explanation:
Divide by 5 on both the numerator and denomenator to get you 1/2.
Explanation :
5/10 = 1/2
a van has a consuption rate 10 km per litre how muck will it consume in 85 km
Answers
Answer:
8.5liter
Step-by-step explanation:
10km = 1 liter
1km = 1÷10 liter
85km = 1/10 ×85 liter
: 85km = 8.5liter
Dan invests £7600 into his bank account.
He receives 3% per year compound interest.
How much will Dan have after 4 years?
Give your answer to the nearest penny where appropriate.
Answers
Answer: 8512
Step-by-step explanation: if he makes 3% a year more for 4 years we have to add 3%+3%+3%+3%=12% and add it to 7600 so 7600+12%=8512
what is x + 3 < 9 ; x = 7 mean
Answers
Because we know what x is, we plug in 7 to the expression.
7+3<9
Since 7+3 is 10, then the new expression is 10<9.
I have no idea if this is a true/false question, because this statement is false.
---
sorry if this doesn't help
i need this asap so can someone answer
Answers
0.2
0.2y+0.4
I think this should be correct
Can someone help me PLZ! I keep posting the same question and no ones helping me :((((((((((((
Solve the system of equations below. Write your answer as an ordered pair.
2x + 2y = 12
3x + 2y = 17
Answers
Answer:
(5,1)
Step-by-step explanation:
Please help me it’s due very soon I can’t fail:( I’ll give you a virtual kiss
Answers
Answer:
Using pythagorean therom √32 = c and b = 4
Step-by-step explanation:
a^2 + b^2 = c^2
Since a and b are the same just plug them in.
4^2 + 4 ^2 = c^2
16 + 16 = c^2
32 = c^2
√32 = c
Answer:
4 in,4 in, ✓32 in
Step-by-step explanation:
A regular work week is 40 hours. Overtime pay is time and one-half. Isabel drives a truck for $8.75 an hour. If she worked 48 hours, what would her gross earnings be for one week?
Answers
And since it is only half pay for overtime then she would only make $35 in eight hours
So altogether she would make $385 this week
1The first three figures in a pattern are shown here. What is the fourth
figure in the pattern?
Answers
Answer:
D
Step-by-step explanation:
The pattern is each end of the figure is expanding by one. A and C are automatically out because there is nothing in the middle of any figure in the previous pattern. B is out because it is the same as figure three. D is correct because it follows the rule of the pattern by expanind outwards one block on each end.
I need help solving this:
X - 15 > 3
Answers
Answer:
Step-by-step explanation:
Answer:
so the inequality for X is x> 18
A liter of milk cost 68 cents. A case of 12 liters costs $7.56. How much is saved per liter by buying the milk by the case?
Answers
Answer:
.60 or 60 cents
Step-by-step explanation:
Answer:
0.6 centavos
Step-by-step explanation:
If ∠H=85° and ∠G=60°, then HJ_____JG
<
>
=
Answers
Answer:
i think its > this one
Step-by-step explanation:
The volume of a cylinder is 8.478 cubic inches, and the radius is 15 inches. Which measurement is closest to the height of this cylinder in cubic inches?
A. 90 in
B. 12 in
C. 48
D. 8
Answers
Answer:
No correct answer
Step-by-step explanation:
volume of a cylinder= pi*r2*height
making height the subject of formula
height = volume/pi*r2
height= 8.478/pi*15*15 = 0.012in
What is the length missing leg of the right triangle
Answers
Answer:
35
Step-by-step explanation:
Find the measure of CDE.
The figure is not drawn to scale.
Answers
360°-188°=172
d is the answer
Applying the central angle theorem, the measure of arc CDE is: 172°.
What is the Central Angle Theorem?According to the central angle theorem, the measure of the central angle equals the measure of its intercepted arc.
Measure of arc CDE = 360 - m∠COE [central angle theorem]
Measure of arc CDE = 360 - (103+50+35)
Measure of arc CDE = 172°
Learn more about the central angle theorem on:
https://brainly.com/question/5436956
#SPJ2
Sophie bought snacks for her team's practice. She bought a bag of chips for $2.49 and
a 12-pack of juice bottles. The total cost before tax was $27.57.
Write and solve an
equation which can be used to determine x, how much each bottle of juice costs?
Equation:
Answer: x =
Answers
Answer:
x=5
Step-by-step explanation:
At 4 PM, the level of the water in the lake was 10 feet. At 8 PM, the level of the water was 2 feet. Determine the constant rate of change of the water.
Answers
Answer:
[tex]-4\ \text{feet/hour}[/tex]
Step-by-step explanation:
Level of water at 4 PM is 10 feet.
Level of water at 8 PM is 2 feet.
Time duration in which water level is measured is [tex]8-4=4\ \text{hours}[/tex]
The change of the level of water in the given time duration is [tex]2-10=-8\ \text{feet}[/tex]
The rate of change would be
[tex]R=\dfrac{-8}{4}=-4\ \text{feet/hour}[/tex]
The constant rate of change of the water is [tex]-4\ \text{feet/hour}[/tex].
The minus sign indicates that the water level is reducing.
There are 188 $100 bills in a bag how many would each person get
Answers
Answer:
for 1 person: 188
for 2 people: 94
etc.
Step-by-step explanation:
divide 188 by the number of people
I GIVES BRAINLIEST TO PEOPLES WHO ANSWERS
Answers
Answer:
A) $28.14 B) $8.14
Step-by-step explanation:
1 * 12.95 = $12.95
2 * 3.20 = $6.40
1 * 8.79 = $8.79
we add up all these numbers, 28.14
well he has only 20 bucks, so he still needs 28.14-20= $8.14
Please don't forget to give brainliest ;)
Answer:
A) The total of supplies Jesse needs is $28.14
B) He would still need $8.14 to complete the birdhouse
Step-by-step explanation:
Jess has $20
1 piece of strong board = $12.95
2 boards = $3.20 each (2 x 3.20 = $6.40 total)
10 foot post = $8.79
$12.95 + $6.40 + $8.79 = $28.14
$20 - $28.14 = -$8.14
The total price $28.14
He would need $8.14 more
(wanna give me the crown?)