Question

wooden cubes of 5 cm is cut out of a large wooden cube of side 100 cm. how many small blocks of wood can be cut?​

Answer 1

Step-by-step explanation:

For each box side length, see how many whole cube sides it would fit. Multiply those integers to get the answer.

10/5 = 2

15/5 = 3

20/5 = 4

2×3×4=24

The method described by some others is flawed, because it shows you only how many cubes would fit in the box volumewise. For some box sized 10×15×22.5, following the ‘volume’ approach, you could fit 27 cubes in there. But this is only possible if you are allowed to cut the cubes in half.

The correct way would be:

10/5 = 2

15/5 = 3

22.5/5 = 4.5 (take the integer) = 4

2×3×4 = 24

This box will have some room left over, namely 10×15×2.5 = 375 cm^3, but it is a slab of 2.5 thickness, so you cannot fit any 5×5×5 cubes in there