Question

Find the volume of a pyramid with a square base, where the area of the base is 6, point, 8, m, squared6.8 m 2 and the height of the pyramid is 8, point, 6, m8.6 m. round your answer to the nearest tenth of a cubic meter.

Answer 1

The volume of the pyramid with a square base area of 6.8 m² and height of 8.6 m is 19.5 m³ when rounded to the nearest tenth.

Step-by-step explanation:

To find the volume of a pyramid with a square base, where the area of the base is 6.8 m² and the height of the pyramid is 8.6 m, we use the formula for the volume of a pyramid, which is V = ⅓ × (base area) × height. Plugging in our values, we get:

V = ⅓ × 6.8 m² × 8.6 m

To calculate, simply multiply the values and divide by 3:

V = ±(6.8 m² × 8.6 m) = ±(58.48 m³) = 19.4933 m³

When rounded to the nearest tenth of a cubic meter, the volume is 19.5 m³.