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Find the volume of the pyramid below. Click Here for Help Video 72 feet 5 feet 11 feet
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Answered by
GPT-4o mini
To find the volume of a pyramid, we can use the formula:
\[
V = \frac{1}{3} \times B \times h
\]
where:
- \( V \) is the volume,
- \( B \) is the area of the base,
- \( h \) is the height of the pyramid.
From the provided dimensions, it seems we have:
- A base length of 72 feet,
- A width of 5 feet,
- A height of 11 feet.
### Step 1: Calculate the Area of the Base
Assuming the base is rectangular, the area \( B \) can be calculated as:
\[
B = \text{length} \times \text{width} = 72 \text{ ft} \times 5 \text{ ft} = 360 \text{ ft}^2
\]
### Step 2: Plug the Values into the Volume Formula
Now, we can substitute \( B \) and \( h \) into the volume formula:
\[
V = \frac{1}{3} \times 360 \text{ ft}^2 \times 11 \text{ ft}
\]
### Step 3: Calculate the Volume
\[
V = \frac{1}{3} \times 360 \times 11 = \frac{1}{3} \times 3960 = 1320 \text{ ft}^3
\]
Thus, the volume of the pyramid is:
\[
\boxed{1320 \text{ ft}^3}
\]
\[
V = \frac{1}{3} \times B \times h
\]
where:
- \( V \) is the volume,
- \( B \) is the area of the base,
- \( h \) is the height of the pyramid.
From the provided dimensions, it seems we have:
- A base length of 72 feet,
- A width of 5 feet,
- A height of 11 feet.
### Step 1: Calculate the Area of the Base
Assuming the base is rectangular, the area \( B \) can be calculated as:
\[
B = \text{length} \times \text{width} = 72 \text{ ft} \times 5 \text{ ft} = 360 \text{ ft}^2
\]
### Step 2: Plug the Values into the Volume Formula
Now, we can substitute \( B \) and \( h \) into the volume formula:
\[
V = \frac{1}{3} \times 360 \text{ ft}^2 \times 11 \text{ ft}
\]
### Step 3: Calculate the Volume
\[
V = \frac{1}{3} \times 360 \times 11 = \frac{1}{3} \times 3960 = 1320 \text{ ft}^3
\]
Thus, the volume of the pyramid is:
\[
\boxed{1320 \text{ ft}^3}
\]
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