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

Answer:

$Height = 12cm$

Step-by-step 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

$Height = 12cm$