Question

Explain how to find the volume of a cube that has edge length 1/4 yd. Then, find the volume of the cube.

Answer in complete sentences, include all relevant formulas and calculations, and be sure to include appropriate units.

Answer 1

• Volume of the cube is 1/64 yd³.

Explanation:

Given that, Length of each edge of the cube is 1/4 yard.

Using formula:

`\: \: \dashrightarrow \: \: { \underline{ \boxed{ \pmb { \sf{ \purple{Volume _((cube)) = (edge) ^(3) }}}}}} \\`

On substituting the value of edge in the above formula, we will get the required volume of the cube.

`\: \: \dashrightarrow \: \: \rm Volume = \bigg( (1)/(4) \bigg) ^(3) \\`

`\: \: \dashrightarrow \: \: \rm Volume = (1)/(4) * (1)/(4) * (1)/(4) \\`

`\: \: \dashrightarrow \: \: { \underline{\boxed{ \purple{\pmb{ \sf {Volume = (1)/(64) \: {yd}^(3) }}}}}} \\ \\`

Hence,

• Volume of the cube is 1/64 yd³

Answer 2

1/64 cubic yards or 0.015625 cubic yards

Explanation:

A cube has equal edge lengths.

To find the volume of a cube using edge length, simplify raise the value of the edge length to the 3rd power or cube it.

⇒ V = (edge length)³

Using this formula and keeping in mind the edge length is 1/4 yd, substitute it in the formula.

• V = (1/4)³
• V = 1/64 [4³ = 64]
• V = 1/64 cubic yards or 0.015625 cubic yards