A candy bar box is in the shape of a triangular prism. The volume of the box is 2,400 cubic centimeters.
Part A: What is the height of the base? Show your work.
Part B: What is the approximate amount of cardboard used to make the candy box? Explain how you got your answer.
PLEASE SHOW YOUR WORK!

Part A) The height of the base is 15 cm

Part B)

Step-by-step explanation:

Part A)  What is the height of the base?

we know that

The volume of the triangular prism is equal to

where

B is the area of the triangular face

L is the length of the prism

we have

substitute the given values

solve for B

Find the height of the base

we know that

The area of triangle i equal to

solve for h

Part B) What is the approximate amount of cardboard used to make the candy box?

we know that

To find out the the approximate amount of cardboard used to make the candy box, determine the surface area of the triangular prism

The surface area is equal to

where

B is the area of the triangular base

P is the perimeter of the triangular base

L is the length

we have

Find the perimeter of triangle P

substitute

so a parallelogram is just like a square base times height. multiply 40 and 39 to get 1560 inches.

a triangle is base times height divided by two. so multiply 7.9 and 5 and then divide it by 2 to get 19.75inches.

the kite can be split into two separate triangles and added together to get the total area. 30 x 4 /2 which equals 60. make sure to double it for the two triangles making 120.