Question

A candy bar box is in the shape of a triangular prism. The volume of the box is 1,200 cubic centimeters.

A triangular prism is shown with base of triangle labeled 10 cm, sides of the triangles labeled 13 cm, and length of the box equal to 20 cm.

Part A: What is the height of the box? Show your work. (5 points)

Part B: What is the approximate amount of cardboard used to make the sides of the candy box? Explain how you got your answer. (5 points)

Answer 1

please help

Answer 2

@Ultrilliam

Answer 3

@JustSaiyan

Answer 4

@ThisGirlPretty

Answer 5

@Ultrilliam

Answer 6

pls help

Answer 7

@eatsalad

Answer 8

The easiest way to solve for the volume would be to use the triangle as the base. Then 20cm would be the height.

Answer 9

Proven by:

\[A _{T} = \frac{ 13 \times 10 }{ 2 } = 65\]
\[V = 65 \times 20 = 1300cm^3\]

Answer 10

So I would use 20cm as the height of the box.

Answer 11

but the volume is 1200 not 1300

Answer 12

That doesn't make sense. The height of the box is 20cm. If you find the area of the triangle, then multiply it by 20, you could get the volume ._.

Answer 13

but i already have the volume, i just need the height

Answer 14

and part b

Answer 15

Lets see if salad has something c;

Answer 16

A
V=1/2*Base area*H
x=height
1/2*10*x*20=1200
solve
x=12

Answer 17

wow, got anything for part b???

Answer 18

Doesn't make any sense though when they give us 13.

Answer 19

Must be a typo

Answer 20

In such a case I would have solved it the same way salad. You're good.

Answer 21

b 13+10*20=213

Answer 22

Or 13+13*20

Answer 23

wow, your really good

Answer 24

wait, which one???

Answer 25

Yeah i think it would be 13+10*20

Answer 26

Oh, facepalm, 13 is the side of the triangle, not height, LOL

Answer 27

okay, thank you!!!

Answer 28

If not 13+10*20 Then it would be 13+13*20

Answer 29

yw

Answer 30

You would need the area of the two triangles, two side rectangles, and then bottom rectangle.

\[T = (13 \times 10) + (13 \times 20 \times 2) + (10 \times 20)\]