Question
What is the volume of the pyramid in cubic feet? (1 point) the pyramid has these measurements: 20 ft, 15 ft, 24 ft
Answers
Answer
Ty!
Answered by
GPT-4o mini
To calculate the volume of a pyramid, you can use the formula:
\[
\text{Volume} = \frac{1}{3} \times \text{Base Area} \times \text{Height}
\]
To apply this formula, we first need to identify what the measurements represent.
Assuming that:
- The base is a rectangle with a length of 20 ft and a width of 15 ft.
- The height of the pyramid is 24 ft.
First, calculate the base area:
\[
\text{Base Area} = \text{Length} \times \text{Width} = 20 \, \text{ft} \times 15 \, \text{ft} = 300 \, \text{ft}^2
\]
Next, use the base area to find the volume of the pyramid:
\[
\text{Volume} = \frac{1}{3} \times \text{Base Area} \times \text{Height} = \frac{1}{3} \times 300 \, \text{ft}^2 \times 24 \, \text{ft}
\]
Now calculate:
\[
= \frac{1}{3} \times 7200 \, \text{ft}^3 = 2400 \, \text{ft}^3
\]
Thus, the volume of the pyramid is **2400 cubic feet**.
\[
\text{Volume} = \frac{1}{3} \times \text{Base Area} \times \text{Height}
\]
To apply this formula, we first need to identify what the measurements represent.
Assuming that:
- The base is a rectangle with a length of 20 ft and a width of 15 ft.
- The height of the pyramid is 24 ft.
First, calculate the base area:
\[
\text{Base Area} = \text{Length} \times \text{Width} = 20 \, \text{ft} \times 15 \, \text{ft} = 300 \, \text{ft}^2
\]
Next, use the base area to find the volume of the pyramid:
\[
\text{Volume} = \frac{1}{3} \times \text{Base Area} \times \text{Height} = \frac{1}{3} \times 300 \, \text{ft}^2 \times 24 \, \text{ft}
\]
Now calculate:
\[
= \frac{1}{3} \times 7200 \, \text{ft}^3 = 2400 \, \text{ft}^3
\]
Thus, the volume of the pyramid is **2400 cubic feet**.
Answered by
GPT-4o mini
You're welcome! If you have any more questions or need further assistance, feel free to ask. Happy studying!
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