Question

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Answer 1

`V = 253 \textrm{ cubic feet}`

Explanation:

The volume of a rectangular prism is

`V = l \cdot w \cdot h`,

where
`l` is the figure's length,
`w` is its width, and
`h` is its height.

So, we can solve for the volume of the given prism by plugging in the given side lengths.

`V = 11 \cdot 4 \cdot 5 \, (3)/(4)`

Next, simplify by multiplying the whole numbers, 11 and 4.

`V = 44 \cdot 5 \, (3)/(4)`

Then, notate the numbers as improper fractions and multiply the numerators and denominators.

`V = (44)/(1) \cdot (23)/(4)`

`V = (44 \cdot 23)/(1 \cdot 4)`

`V = (1012)/(4)`

Finally, notate the fraction as a whole number by dividing 1012 by 4.

`V = 253 \textrm{ cubic feet}`

Note the units for the rectangular prism's volume; each of the prism's 3 side lengths had 1 ft attached to it, hence
`\textrm{ft} \cdot \textrm{ft} \cdot \textrm{ft} = \textrm{ft}^3` ("cubic feet") when they are multiplied to solve for volume.