A rectangular prism with length ℓ, width w, and height h has a volume of ℓwh. What is the volume of a prism which has a base of 5m by 3m, and a height of 4m ? m^(3)

Identify formula: Identify the formula for the volume of a rectangular prism. The volume of a rectangular prism is found by multiplying the length (ℓ), width (w), and height (h) together. Volume formula: V = ℓwhSubstitute dimensions: Substitute the given dimensions into the volume formula. Given the base dimensions are 5m (length) and 3m (width), and the height is 4m, we substitute these values into the formula. V = 5m * 3m * 4mCalculate volume: Calculate the volume. V = 5m * 3m * 4m V = 15m^2 * 4m V = 60m^3

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A rectangular prism with length
ℓ, width
w, and height
h has a volume of
ℓwh.
What is the volume of a prism which has a base of
5m by
3m, and a height of
4m ?

m^(3)

A rectangular prism with length $\ell$ , width $w$ , and height $h$ has a volume of $\ell w h$ . $\newline$ What is the volume of a prism which has a base of $5 \mathrm{~m}$ by $3 \mathrm{~m}$ , and a height of $4 \mathrm{~m}$ ? $\newline$ $\mathrm{m}^{3}$

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Algebra 1

Area and perimeter: word problems

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Q. A rectangular prism with length

\ell

, width

w

, and height

h

has a volume of

\ell w h

\newline

What is the volume of a prism which has a base of

5 \mathrm{~m}

3 \mathrm{~m}

, and a height of

4 \mathrm{~m}

\newline

\mathrm{m}^{3}

Identify formula: Identify the formula for the volume of a rectangular prism. $\newline$ The volume of a rectangular prism is found by multiplying the length $\ell$ , width $w$ , and height $h$ together. $\newline$ Volume formula: $V = \ell w h$
Substitute dimensions: Substitute the given dimensions into the volume formula. $\newline$ Given the base dimensions are $5\,\text{m}$ (length) and $3\,\text{m}$ (width), and the height is $4\,\text{m}$ , we substitute these values into the formula. $\newline$ $V = 5\,\text{m} \times 3\,\text{m} \times 4\,\text{m}$
Calculate volume: Calculate the volume. $\newline$ $V = 5m \times 3m \times 4m$ $\newline$ $V = 15m^2 \times 4m$ $\newline$ $V = 60m^3$