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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.

Explain how to find the volume of a cube that has edge length 14 yd Then find the volume of the cube Answer in complete sentences include all relevant formulas class=

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Answer:

1/64 cubic yards or 0.015625 cubic yards

Step-by-step 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

Answer:

  • Volume of the cube is 1/64 yd³.

Step-by-step explanation:

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

Using formula:

[tex] \: \: \dashrightarrow \: \: { \underline{ \boxed{ \pmb { \sf{ \purple{Volume _{(cube)} = (edge) ^{3} }}}}}} \\ [/tex]

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

[tex] \: \: \dashrightarrow \: \: \rm Volume = \bigg( \dfrac{1}{4} \bigg) ^{3} \\ [/tex]

[tex]\: \: \dashrightarrow \: \: \rm Volume = \dfrac{1}{4} \times \dfrac{1}{4} \times \dfrac{1}{4} \\ [/tex]

[tex]\: \: \dashrightarrow \: \: { \underline{\boxed{ \purple{\pmb{ \sf {Volume = \dfrac{1}{64} \: {yd}^{3} }}}}}} \\ \\ [/tex]

Hence,

  • Volume of the cube is 1/64 yd³

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