An art gallery is a 6-story square pyramid with base area of half an acre. Estimate the volume in cubic yards of the art gallery. In your calculations, use 1 acre = 4840 yd2 and 1 story = 10 ft.

Question

anonymous · Answer

The volume of a pyramid is 
$$V=s^2h,$$
where s = length of side of base,
h = height.

Since the height is 6 stories ≈ 10 ft = 10/3 yd, and the area of the base is 1 acre ≈ 4840 yd²,
$$V=(4840 \text{ yd}^2)\left(\frac{10}{3}\text{ yd}\right)$$

anonymous · Answer

Erh

anonymous · Answer

Sorry, should be
$$6\text{ stories} \approx 6(10\text{ ft}) = \frac{60}{3}\text{ yd}$$

anonymous · Answer

this is incorrect