Question

A glass case is in the shape of a rectangular prism. The volume of the case is cubic 4/125 foot. How many cubic blocks with a side length of 1/5 foot would be required to find the volume of the glass case?

Answer 1

4 cubes can fit into the box

Answer 2

Answer:

4 cubic blocks.

Step-by-step explanation:

Let n be the number of cubic blocks that could fit in glass case.

We have been given that a glass case is in shape of a rectangular prism. The volume of the case is cubic 4/125 foot.

The volume of glass case will be equal to volume of n cubic blocks with each side length $\frac{1}{5}$ foot.

$\text{Volume of glass case}=\text{Volume of n cubic blocks}$

$\frac{4}{125}=n\times (\frac{1}{5})^3$

$\frac{4}{125}=n\times \frac{1^3}{5^3}$

$\frac{4}{125}=n\times \frac{1}{125}$

Multiplying both sides of equation by $125$ we will get,

$\frac{4}{125}*125=n\times \frac{1}{125}*125$

$4=n$

Therefore, 4 cubic blocks would be required to find the volume of the glass case.