Question
The formula for finding the volume of a square prism is asgh for S is the length of each side of the square Basin H is the height of the prism evaluate time the volume given values s equals 4 and H = 6 a 144 cm B96 cubic centimeters c576 cubic centimeters d48 cubic centimeters
Answers
GPT-4o mini
To find the volume of a square prism (rectangular prism with a square base), you can use the formula:
\[
V = S^2 \times H
\]
where \( S \) is the length of each side of the square base and \( H \) is the height of the prism.
Given the values:
- \( S = 4 \, \text{cm} \)
- \( H = 6 \, \text{cm} \)
Now, plug the values into the formula:
1. Calculate \( S^2 \):
\[
S^2 = 4^2 = 16 \, \text{cm}^2
\]
2. Now, multiply by the height \( H \):
\[
V = 16 \, \text{cm}^2 \times 6 \, \text{cm} = 96 \, \text{cm}^3
\]
So, the volume of the square prism is \( \mathbf{96} \, \text{cubic centimeters} \).
The correct answer is **B) 96 cubic centimeters**.
\[
V = S^2 \times H
\]
where \( S \) is the length of each side of the square base and \( H \) is the height of the prism.
Given the values:
- \( S = 4 \, \text{cm} \)
- \( H = 6 \, \text{cm} \)
Now, plug the values into the formula:
1. Calculate \( S^2 \):
\[
S^2 = 4^2 = 16 \, \text{cm}^2
\]
2. Now, multiply by the height \( H \):
\[
V = 16 \, \text{cm}^2 \times 6 \, \text{cm} = 96 \, \text{cm}^3
\]
So, the volume of the square prism is \( \mathbf{96} \, \text{cubic centimeters} \).
The correct answer is **B) 96 cubic centimeters**.