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V=(1)/(3)ℓwh
The formula gives the volume
V of a rectangular pyramid with base length
ℓ, base width
w, and height
h. What is the volume, in cubic inches, of a rectangular pyramid with a base length of 3 inches, a base width of 3 inches, and a height of 2 inches?

$V=\frac{1}{3}\ell wh$ $\newline$ The formula gives the volume $V$ of a rectangular pyramid with base length $\ell$ , base width $w$ , and height $h$ . What is the volume, in cubic inches, of a rectangular pyramid with a base length of $3$ inches, a base width of $3$ inches, and a height of $2$ inches?

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Volume of cubes and rectangular prisms: word problems

Full solution

Q.

V=\frac{1}{3}\ell wh

\newline

The formula gives the volume

V

of a rectangular pyramid with base length

\ell

, base width

w

, and height

h

. What is the volume, in cubic inches, of a rectangular pyramid with a base length of

3

inches, a base width of

3

inches, and a height of

2

inches?

Identify Values and Formula: Step $1$ : Identify the values given in the problem and the formula to use. $\newline$ We have the base length $\ell$ = $3$ inches, base width $w$ = $3$ inches, and height $h$ = $2$ inches. The formula for the volume $V$ of a rectangular pyramid is $V = \frac{1}{3}\ell w h$ .
Substitute Values: Step $2$ : Substitute the values into the formula. $\newline$ $V = \left(\frac{1}{3}\right) \times 3 \text{ inches} \times 3 \text{ inches} \times 2 \text{ inches}$
Perform Multiplication: Step $3$ : Perform the multiplication. $V = \frac{1}{3} \times 18$ cubic inches
Calculate Final Volume: Step $4$ : Calculate the final volume. $V = 6$ cubic inches

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