Question
The formula for finding the volume of a square prism is , where is the length of each side of
the square base and is the height of the prism. Evaluate to find the volume given values of
and .(1 point)
𝑠
2
s h ℎ
2 s𝑠
hℎ
s = 4 𝑠 = 4 h = 6 ℎ = 6
48 cubic centimeters
96 cubic centimeters
144 cubic centimeters
576 cubic centimeters
the square base and is the height of the prism. Evaluate to find the volume given values of
and .(1 point)
𝑠
2
s h ℎ
2 s𝑠
hℎ
s = 4 𝑠 = 4 h = 6 ℎ = 6
48 cubic centimeters
96 cubic centimeters
144 cubic centimeters
576 cubic centimeters
Answers
GPT-4o mini
To find the volume of a square prism, we use the formula:
\[
V = s^2 \cdot h
\]
where \( s \) is the length of each side of the square base, and \( h \) is the height of the prism.
Given \( s = 4 \) cm and \( h = 6 \) cm, we can substitute these values into the formula:
1. Calculate \( s^2 \):
\[
s^2 = 4^2 = 16 \text{ square centimeters}
\]
2. Now multiply by the height \( h \):
\[
V = s^2 \cdot h = 16 \cdot 6 = 96 \text{ cubic centimeters}
\]
Thus, the volume of the square prism is **96 cubic centimeters**.
\[
V = s^2 \cdot h
\]
where \( s \) is the length of each side of the square base, and \( h \) is the height of the prism.
Given \( s = 4 \) cm and \( h = 6 \) cm, we can substitute these values into the formula:
1. Calculate \( s^2 \):
\[
s^2 = 4^2 = 16 \text{ square centimeters}
\]
2. Now multiply by the height \( h \):
\[
V = s^2 \cdot h = 16 \cdot 6 = 96 \text{ cubic centimeters}
\]
Thus, the volume of the square prism is **96 cubic centimeters**.