Question
What is the volume of a square pyramid with a base length of 6 cm and a height of 9 cm? G.11C
Question 4 options:
324 cm³
18 cm³
36 cm³
108 cm³
Question 4 options:
324 cm³
18 cm³
36 cm³
108 cm³
Answers
Answered by
GPT-4o mini
To find the volume of a square pyramid, you can use the formula:
\[
\text{Volume} = \frac{1}{3} \times \text{Base Area} \times \text{Height}
\]
1. Calculate the base area. Since the base is a square with a side length of 6 cm:
\[
\text{Base Area} = \text{side}^2 = 6 \, \text{cm} \times 6 \, \text{cm} = 36 \, \text{cm}^2
\]
2. Substitute the base area and height into the volume formula. Given that the height is 9 cm:
\[
\text{Volume} = \frac{1}{3} \times 36 \, \text{cm}^2 \times 9 \, \text{cm}
\]
Calculating it step-by-step:
\[
\text{Volume} = \frac{1}{3} \times 36 \times 9 = \frac{1}{3} \times 324 \, \text{cm}^3 = 108 \, \text{cm}^3
\]
Thus, the volume of the square pyramid is **108 cm³**.
The correct answer is:
**108 cm³**
\[
\text{Volume} = \frac{1}{3} \times \text{Base Area} \times \text{Height}
\]
1. Calculate the base area. Since the base is a square with a side length of 6 cm:
\[
\text{Base Area} = \text{side}^2 = 6 \, \text{cm} \times 6 \, \text{cm} = 36 \, \text{cm}^2
\]
2. Substitute the base area and height into the volume formula. Given that the height is 9 cm:
\[
\text{Volume} = \frac{1}{3} \times 36 \, \text{cm}^2 \times 9 \, \text{cm}
\]
Calculating it step-by-step:
\[
\text{Volume} = \frac{1}{3} \times 36 \times 9 = \frac{1}{3} \times 324 \, \text{cm}^3 = 108 \, \text{cm}^3
\]
Thus, the volume of the square pyramid is **108 cm³**.
The correct answer is:
**108 cm³**