Volume of a rectangular box (cuboid) with length = 2ab, breadth = 3ac and height = 2ac is
(a) 12a³bc²
(b) 12a³bc
(c) 12a²bc
(d) 2ab + 3ac + 2ac

Solution:

Correct option is (a)

Volume of a rectangular box = length × breadth × height

Given, length = 2ab, breadth = 3ac and height = 2ac

∴ Volume of a rectangular box = length × breadth × height

= 2ab × 3ac × 2ac

= 12 (a × a × a) b ( c × c)

= 12a³bc²

✦ Try This: Find the volume of the cube of side 6x.

Volume of a rectangular box = length × breadth × height

Given, length = breadth = height = 6x

∴ Volume of a rectangular box = length × breadth × height

= 6x × 6x × 6x

= 216x³

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 9

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NCERT Exemplar Class 8 Maths Chapter 7 Problem 11

Volume of a rectangular box (cuboid) with length = 2ab, breadth = 3ac and height = 2ac is (a) 12a³bc², (b) 12a³bc, (c) 12a²bc, (d) 2ab + 3ac + 2ac

Summary:

Volume of a rectangular box with length = 2ab, breadth = 3ac and height = 2ac is 12a³bc²

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☛ Related Questions:

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• Square of 3x – 4y is (a) 9x² – 16y² (b) 6x² – 8y² (c) 9x² + 16y² + 24xy (d) 9x² + 16y² – 24xy
• Which of the following are like terms? (a) 5xyz², – 3xy²z (b) – 5xyz², 7xyz² (c) 5xyz², 5x²yz (d) 5x . . . .