Question

CRISSY IS BUILDING A RECTANGULAR PRISM WITH

A VOLUME OF 360 CUBIC UNITS. THE HEIGHT OF
THE PRISM IS IO UNITS. CHRISSY CLAIMS THAT THE
BASE OF THE PRISM MUST BE A SQUARE. WHAT
ARE THE DIMENSIONS FOR A RECTANGULAR PRISM
THAT SHOWS CRISSY IS NOT CORRECT?

Answer 1

Answer: Crissy is correct

Explanation:

Given

The volume of the rectangular prism is
`360\ units^3`

The height of the prism is
`h=10\ units`

Suppose A is the area of the base

So, the volume is given by

`\Rightarrow V=A* h`

Insert the values

`\Rightarrow 360=A* 10\\\Rightarrow A=36\ \text{or}\ 6* 6\ units^2`

As 36 is the perfect square of 6, therefore, the base is a square with the dimension of
`6* 6\ units^2`

Crissy's claim is correct.