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How deep is a rectangular pool that is
24ft. long and
15ft. wide and has a volume of 1,620 cubic feet?

How deep is a rectangular pool that is $24 \mathrm{ft}$ . long and $15 \mathrm{ft}$ . wide and has a volume of $1$ , $620$ cubic feet?

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Volume of cubes and rectangular prisms: word problems

Full solution

Q. How deep is a rectangular pool that is

24 \mathrm{ft}

. long and

15 \mathrm{ft}

. wide and has a volume of

1

,

620

cubic feet?

Identify dimensions and volume: Identify the known dimensions and the volume of the pool. $\newline$ Length = $24$ ft, Width = $15$ ft, Volume = $1620$ cubic ft. $\newline$ We need to find the depth (height) of the pool using the formula for the volume of a rectangular prism: Volume = Length $\times$ Width $\times$ Height.
Rearrange formula for Height: Rearrange the formula to solve for Height. $\newline$ $Height = \frac{Volume}{Length \times Width}$ $\newline$ Calculate $Height = \frac{1620}{24 \times 15}$
Calculate Height: Perform the multiplication and division to find the Height. $\newline$ Height = $\frac{1620}{360}$ $\newline$ Height = $4.5$ ft

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