Question
What is the volume, in cubic centimeters, of a rectangular prism with a height of 15 centimeters, a width of 18 centimeters, and a length of 9 centimeters?
Answer
Attempt 1 out of 2
V, equalsV=
centimeters, cubed centimeters
3
Answer
Attempt 1 out of 2
V, equalsV=
centimeters, cubed centimeters
3
Answers
GPT-4o mini
To find the volume \( V \) of a rectangular prism, you can use the formula:
\[
V = \text{length} \times \text{width} \times \text{height}
\]
Given the dimensions:
- Length = 9 cm
- Width = 18 cm
- Height = 15 cm
Now, substitute these values into the formula:
\[
V = 9 \, \text{cm} \times 18 \, \text{cm} \times 15 \, \text{cm}
\]
First, calculate \( 9 \times 18 \):
\[
9 \times 18 = 162 \, \text{cm}^2
\]
Next, multiply by the height:
\[
162 \, \text{cm}^2 \times 15 \, \text{cm} = 2430 \, \text{cm}^3
\]
Thus, the volume of the rectangular prism is:
\[
\boxed{2430 \, \text{cm}^3}
\]
\[
V = \text{length} \times \text{width} \times \text{height}
\]
Given the dimensions:
- Length = 9 cm
- Width = 18 cm
- Height = 15 cm
Now, substitute these values into the formula:
\[
V = 9 \, \text{cm} \times 18 \, \text{cm} \times 15 \, \text{cm}
\]
First, calculate \( 9 \times 18 \):
\[
9 \times 18 = 162 \, \text{cm}^2
\]
Next, multiply by the height:
\[
162 \, \text{cm}^2 \times 15 \, \text{cm} = 2430 \, \text{cm}^3
\]
Thus, the volume of the rectangular prism is:
\[
\boxed{2430 \, \text{cm}^3}
\]