Find the volume of a pyramid with a base of 18 ft squared and a height of 29 feet.

Question

The volume of the pyramid is
  

Answer 1

The volume $V$ of a pyramid can be calculated using the formula:

$$V=\frac{1}{3}\times \text{Base Area}\times \text{Height}$$

Given that the base area is $18,{\text{ft}}^2$ and the height is $29,\text{ft}$, we can substitute these values into the formula:

$$V=\frac{1}{3}\times 18,{\text{ft}}^2\times 29,\text{ft}$$

Calculating the volume:

$$V=\frac{1}{3}\times 18\times 29$$

First, calculate $18\times 29$:

$$18\times 29=522$$

Now, divide by 3:

$$V=\frac{522}{3}=174$$

Thus, the volume of the pyramid is:

$$\boxed{{\displaystyle 174}},{\text{ft}}^3$$