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3 years ago

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Cube-shaped blocks are packed into a cube-shaped storage container. The edge of the storage container is 2 1/2 feet. The edge le

ngth of each block is 1/5 the edge length of the storage container. What is the volume, in cubic feet, of one cube-shaped block?

1 answer:

GarryVolchara [31]3 years ago

4 0

Answer:

Volume of one cube shaped block is, 0.125 cubic feet

Step-by-step explanation:

Volume of a cube(V) is given by:

$V = a^3$ .....[1]

where a is the edge length of the cube.

As per the statement:

Cube-shaped blocks are packed into a cube-shaped storage container. The edge of the storage container is 2 1/2 feet.

⇒ $\text{Edge length of storage} = 2\frac{1}{2} = 2.5 ft$

It is also given that:

The edge length of each block is 1/5 the edge length of the storage container

⇒ $\text{Edge length of each block (a)} = \frac{1}{5} \cdot 2.5 = 0.5 ft$

Substitute this in [1] we have;

$V = (0.5)^3 = 0.125 ft^3$

Therefore, volume, in cubic feet, of one cube-shaped block is, 0.125

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Now as shown in the figure.

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