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?

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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 [tex]\frac{1}{5}[/tex] foot.

[tex]\text{Volume of glass case}=\text{Volume of n cubic blocks}[/tex]

[tex]\frac{4}{125}=n\times (\frac{1}{5})^3[/tex]

[tex]\frac{4}{125}=n\times \frac{1^3}{5^3}[/tex]

[tex]\frac{4}{125}=n\times \frac{1}{125}[/tex]

Multiplying both sides of equation by [tex]125[/tex] we will get,

[tex]\frac{4}{125}*125=n\times \frac{1}{125}*125[/tex]

[tex]4=n[/tex]

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

Answer:

hello ma'am or sir i hope my answer helps please say it helps 4 cubeick blocks

Step-by-step explanation: