Question

Hannah wants to determine the number of number cubes that will fit in her local supermarket. She estimates the side of a number cube to be
inch, and the dimensions of the supermarket to be 300 feet by 250 feet by 15 feet.
What is her estimate for the number of number cubes that fit in her local supermarket?
(1 point)
☐number cubes

Answer 1

The problem text is missing the side length of the number cube. In general the number she wants is

N = (300 ft × 250 ft × 15 ft) ÷ (s_in_inches^3),

with 1 ft = 12 in so the store volume in cubic inches is
300·250·15·12^3 = 1,125,000·1728 = 1,944,000,000 in^3.

So
N = 1,944,000,000 ÷ s^3 (with s in inches).

If the cube side is
- 1 inch: N = 1,944,000,000 cubes.
- 1/2 inch: s^3 = 1/8, so N = 1,944,000,000 ÷ (1/8) = 15,552,000,000 cubes.

Tell me the intended side length (the missing number) and I'll give the exact estimate.