Question

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

Answer 1

`Height = 12cm`

Explanation:

Given

`Volume = 1200cm^3`

The dimension of the base is:

`Base =10cm`

`Sides = 13cm`

See comment for complete question

Required

The height of the base

To do this, we make use of Pythagoras theorem where:

`Sides^2 = (Base/2)^2 + Height^2`

So, we have:

`13^2 = (10/2)^2 + Height^2`

`13^2 = 5^2 + Height^2`

`169 = 25 + Height^2`

Collect like terms

`Height^2 = 169 - 25`

`Height^2 = 144`

Take square roots of both sides

`Height = 12cm`