Question

The volume of a pyramid, V, is calculated using the formula V = 1/3 ah, where A is the base area and H is the height. Rearrange the formula to solve for the base area (A). What is the base area of a pyramid with a volume of 72m^3 and a height of 12m?

Answer 1

The base area A of the pyramid with a volume of 72m^3 and height of 12m is 18m^2 after rearranging the pyramid volume formula and substituting the given values.

Step-by-step explanation:

To solve for the base area A of a pyramid when given the volume and height, we can rearrange the volume formula V = 1/3 Ah. Multiplying both sides of the equation by 3 and then dividing by h, we get:

A = 3V / h.

For a pyramid with a volume of 72 m³ and a height of 12 m, the base area A would be calculated as follows:

A = 3 × 72 m³ / 12 m = 18 m².

Therefore, the base area A of the pyramid is 18 m².