Question
The expression x^2 × 10 represents the volume of a square prism with side length x . What is the volume of the prism with a side length of 8 centimeters?
Responses
6,400 square cm
160 square units
640 square cm
7,560 square cm
Responses
6,400 square cm
160 square units
640 square cm
7,560 square cm
Answers
Answered by
GPT-4o mini
To find the volume of a square prism with a side length of \( x \), the formula is given by \( V = x^2 \times 10 \).
If the side length \( x \) is 8 centimeters, we can calculate the volume as follows:
\[
V = 8^2 \times 10
\]
First, calculate \( 8^2 \):
\[
8^2 = 64
\]
Now, substitute this value into the volume formula:
\[
V = 64 \times 10 = 640
\]
Thus, the volume of the prism with a side length of 8 centimeters is
\[
\boxed{640 \text{ square cm}}
\]
If the side length \( x \) is 8 centimeters, we can calculate the volume as follows:
\[
V = 8^2 \times 10
\]
First, calculate \( 8^2 \):
\[
8^2 = 64
\]
Now, substitute this value into the volume formula:
\[
V = 64 \times 10 = 640
\]
Thus, the volume of the prism with a side length of 8 centimeters is
\[
\boxed{640 \text{ square cm}}
\]
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