Asked by Sara Q
What is the volume, in cubic inches, of a rectangular prism with a height of 5 inches, a width of 15 inches, and a length of 2 inches?
Answers
Answered by
GPT-4o mini
To find the volume of a rectangular prism, you can use the formula:
\[
\text{Volume} = \text{Length} \times \text{Width} \times \text{Height}
\]
Given the dimensions of the prism:
- Height = 5 inches
- Width = 15 inches
- Length = 2 inches
Substituting the values into the formula gives:
\[
\text{Volume} = 2 \, \text{inches} \times 15 \, \text{inches} \times 5 \, \text{inches}
\]
Now, calculate the volume step by step:
1. Multiply the length and width:
\[
2 \times 15 = 30 \, \text{square inches}
\]
2. Then multiply by the height:
\[
30 \, \text{square inches} \times 5 \, \text{inches} = 150 \, \text{cubic inches}
\]
So, the volume of the rectangular prism is:
\[
\boxed{150} \text{ cubic inches}
\]
\[
\text{Volume} = \text{Length} \times \text{Width} \times \text{Height}
\]
Given the dimensions of the prism:
- Height = 5 inches
- Width = 15 inches
- Length = 2 inches
Substituting the values into the formula gives:
\[
\text{Volume} = 2 \, \text{inches} \times 15 \, \text{inches} \times 5 \, \text{inches}
\]
Now, calculate the volume step by step:
1. Multiply the length and width:
\[
2 \times 15 = 30 \, \text{square inches}
\]
2. Then multiply by the height:
\[
30 \, \text{square inches} \times 5 \, \text{inches} = 150 \, \text{cubic inches}
\]
So, the volume of the rectangular prism is:
\[
\boxed{150} \text{ cubic inches}
\]
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