Question

Find the volume of each rectangular box with given length, breadth, and height.

	Length	breadth	height
(i)	2ax	3by	5cz
(ii)	m2n	n2p	p2m
(iii)	2q	4q2	8q3

Answer 1

Volume = length × breadth × height

Hence, for

(i) Volume = (2ax) × (3by) × (5cz) = 2 × 3 × 5 × (ax) × (by) × (cz) = 30abcxyz.

(ii) Volume = m²n × n²p × p²m = (m² × m) × (n × n²) × (p × p²) = m³n³p³.

(iii) Volume = 2q × 4q² × 8q³ = 2 × 4 × 8 × q × q² × q³ = 64q⁶.