Find the volume of the pyramid below. Click Here for Help Video 72 feet 5 feet 11 feet

1 answer

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:

\[ \boxed{1320 \text{ ft}^3} \]