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

a

step-by-step explanation:

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation: