Question

The external dimensions of an open wooden box are 65 cm, 34 cm, and 25 cm. If the box is made up of wood 2 cm thick, find the capacity of the box and the volume of wood used to make it.

Answer 1

External length = 65 cm

External breath = 34 cm

External height = 25 cm

Volume = l × b × h

= 65 × 34 × 25

= 55,250 cm³

Thickness = 2 cm

Internal length = 65 − 4 = 61 cm

Internal breath = 34 − 4 = 30 cm

Internal height = 25 − 2 = 23 cm

Capacity of the box (V) = 61 × 30 × 23

= 42,090 cm³

The volume of wood used to make the box = V_ext − V_int

= 65 × 34 × 25 cm³ − 61 × 30 × 23 cm³

= 55,250 − 42,090

= 13,160 cm³