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V=ℓwh
The formula gives the volume
V of a right rectangular prism with length
ℓ, width
w, and height
h. What is the volume, in cubic meters, of a rectangular prism that is 6 meters long, 2 meters wide, and 10 meters tall?

$V=\ell w h$ $\newline$ The formula gives the volume $V$ of a right rectangular prism with length $\ell$ , width $w$ , and height $h$ . What is the volume, in cubic meters, of a rectangular prism that is $6$ meters long, $2$ meters wide, and $10$ meters tall?

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Write and solve equations for proportional relationships

Full solution

Q.

V=\ell w h

\newline

The formula gives the volume

V

of a right rectangular prism with length

\ell

, width

w

, and height

h

. What is the volume, in cubic meters, of a rectangular prism that is

6

meters long,

2

meters wide, and

10

meters tall?

Identify dimensions of prism: Identify the given dimensions of the rectangular prism. $\newline$ Length ( $\ell$ ) = $6$ meters $\newline$ Width ( $w$ ) = $2$ meters $\newline$ Height ( $h$ ) = $10$ meters $\newline$ We will use these dimensions to calculate the volume of the prism using the formula $V = \ell w h$ .
Substitute dimensions into formula: Substitute the given dimensions into the volume formula. $\newline$ Using the formula $V = \ell w h$ , we substitute the values for length, width, and height. $\newline$ $V = 6 \text{ meters} \times 2 \text{ meters} \times 10 \text{ meters}$
Perform multiplication to find volume: Perform the multiplication to find the volume. $\newline$ $V = 6 \times 2 \times 10$ $\newline$ $V = 12 \times 10$ $\newline$ $V = 120$ $\newline$ The volume of the rectangular prism is $120$ cubic meters.

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