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
\[
\boxed{42 \, \text{cm}^3}
\]
\[
V = \text{length} \times \text{width} \times \text{height}
\]
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
\[
\boxed{42 \, \text{cm}^3}
\]