Question

Find the volume of the rectangular prism.

Answer 1

Q9:

`\boxed{V = (7)/(96)\;cubic\;feet}}`

Q10

`\boxed{V = (64)/(125)\;cubic\;yards}`

Explanation:

For a rectangular prism, the volume = length x width x height

Given these 3 dimensions simply multiply them to get the volume

Q9

`V = (7)/(8) \cdot (2)/(3) \cdot (1)/(8)\\\\`

`V = (7\cdot 2\cdot 1)/(8\cdot 3 \cdot 8)\\\\V = (14)/(192)\\\\`

Divide numerator and denominator to reduce to lowest fraction

`V = (14 / 2)/(192/ 2)\\\\\boxed{V = (7)/(96)\;cubic\;feet}}`

Q10

This is a cube since each side is the same length

For a cube of side a, the volume = a³

So for this particular cube

`V = \left((4)/(5)\right)^3\\\\\\\boxed{V = (64)/(125)\;cubic\;yards}`