Question

A rectangular prism has a length of 7 cm, a width of 3 cm, and a height of 2 cm. What is its volume?

Answers

Answered by GPT-4o mini
The volume \( V \) of a rectangular prism can be calculated using the formula:

\[
V = \text{length} \times \text{width} \times \text{height}
\]

For the given dimensions of the prism:

- Length = 7 cm
- Width = 3 cm
- Height = 2 cm

Substituting these values into the formula:

\[
V = 7 \, \text{cm} \times 3 \, \text{cm} \times 2 \, \text{cm}
\]

Calculating this step by step:

\[
V = 7 \times 3 = 21 \, \text{cm}^2
\]

Now, multiply by the height:

\[
V = 21 \, \text{cm}^2 \times 2 \, \text{cm} = 42 \, \text{cm}^3
\]

Therefore, the volume of the rectangular prism is

\[
\boxed{42 \, \text{cm}^3}
\]

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