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Question

The number of cubes of edge 4 cm that can be cut from a cube of edge 12 cm, is _________.

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Solution


Let the edges of the bigger and smaller cubes be x cm and y cm, respectively.

Edge of the bigger cube, x = 12 cm

Edge of each smaller cube, y = 4 cm

∴ Number of smaller cubes that can be cut from the bigger cube

=Volume of the bigger cubeVolume of each smaller cube

=12 cm×12 cm×12 cm4 cm×4 cm×4 cm [Volume of cube = (Edge)3]

= 27

Thus, 27 smaller cubes of edge 4 cm that can be cut from a cube of edge 12 cm.

The number of cubes of edge 4 cm that can be cut from a cube of edge 12 cm, is ___27___.

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