Question

How many cubes with 1/4-foot side lengths will fit inside 77ft3 if they are packed with no gaps

Answer 1

4 small cubes will fit into a 1-ft length.

So, 4^3 = 64 small cubes will fit into each cubic foot.

64*77 small cubes fit into 77 ft^3.

Assuming the dimensions of the large solid are multiples of 3 inches ...