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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?


Sagot :

Answer: Crissy is correct

Step-by-step explanation:

Given

The volume of the rectangular prism is [tex]360\ units^3[/tex]

The height of the prism is [tex]h=10\ units[/tex]

Suppose A is the area of the base

So, the volume is given by

[tex]\Rightarrow V=A\times h[/tex]

Insert the values

[tex]\Rightarrow 360=A\times 10\\\Rightarrow A=36\ \text{or}\ 6\times 6\ units^2[/tex]

As 36 is the perfect square of 6, therefore, the base is a square with the dimension of [tex]6\times 6\ units^2[/tex]

Crissy's claim is correct.  

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