Question

How many spheres of radius 1.5 cm can be cut out of a wooden cube of edge 9 cm?

• A. 216
• B. 81
• C. 27
• D. can't be determined

Answer 1

The correct option is C 27

A sphere of radius 1.5 cm can be placed in a cube of edge length 3 cm.
$\therefore$ Number of cubes $=\frac{9\times 9\times 9}{3\times 3\times 3}=27cubes$ = 27 Spheres