How many cubes of side 1 cm can be cut from a cube of side 4 cm?

Class 8MensurationMensuration

Step-by-Step Solution

Big cube volume =

4^{3} = 64 cm^{3}

; small cube volume =

1^{3} = 1 cm^{3}

. Number = 64 ÷ 1 = 64 cubes.

Answer: C) 64

**Volume = length × breadth × height =

l \times b \times h

.**

For a cube:

V = s^{3}

.

Units: if

l, b, h

are in cm,

V

is in

cm^{3}

. If in

m, V

is in

m^{3}

. **Always check units before computing.** Mixing

m

and cm gives nonsense.

Example: cuboid

4 \times 5 \times 3

cm.

V = 60 cm^{3}

. Cube of side 7 cm:

V = 343 cm^{3}

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