Question
Volume of Pyramids Practice
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Question
Cecilia built a model pyramid out of foam. Her model is 20 inches high, with a rectangular base that is 8 inches long and 12 inches wide. What is the volume of her model in cubic inches?(1 point)
in3
Remaining Attempts : 3
Answers
GPT-4o mini
To calculate the volume of a pyramid, you can use the formula:
\[
\text{Volume} = \frac{1}{3} \times \text{Base Area} \times \text{Height}
\]
1. First, calculate the area of the base. The base is a rectangle, so the area is:
\[
\text{Base Area} = \text{Length} \times \text{Width} = 8 \, \text{inches} \times 12 \, \text{inches} = 96 \, \text{inches}^2
\]
2. Now, plug the base area and the height into the volume formula. The height of the pyramid is 20 inches.
\[
\text{Volume} = \frac{1}{3} \times 96 \, \text{inches}^2 \times 20 \, \text{inches}
\]
3. Calculate:
\[
\text{Volume} = \frac{1}{3} \times 1920 \, \text{inches}^3 = 640 \, \text{inches}^3
\]
Thus, the volume of Cecilia's model pyramid is \(640 \, \text{cubic inches}\).
\[
\text{Volume} = \frac{1}{3} \times \text{Base Area} \times \text{Height}
\]
1. First, calculate the area of the base. The base is a rectangle, so the area is:
\[
\text{Base Area} = \text{Length} \times \text{Width} = 8 \, \text{inches} \times 12 \, \text{inches} = 96 \, \text{inches}^2
\]
2. Now, plug the base area and the height into the volume formula. The height of the pyramid is 20 inches.
\[
\text{Volume} = \frac{1}{3} \times 96 \, \text{inches}^2 \times 20 \, \text{inches}
\]
3. Calculate:
\[
\text{Volume} = \frac{1}{3} \times 1920 \, \text{inches}^3 = 640 \, \text{inches}^3
\]
Thus, the volume of Cecilia's model pyramid is \(640 \, \text{cubic inches}\).