Question

the length,breadth and height of a cuboid are in the ratio 7:6:5 if the volume of the cuboid is 45360cm3 find the dimensions of the cuboids
Please answer please step by step

Answer 1

Answer:

42 cm ; 36 cm ; 30 cm.

Step-by-step explanation:

Let the length , breadth and height of the cuboid be 7x ; 6x ; 5x.

Given:

volume of a cuboid = 45360 cm³

We know that,

volume of a cuboid = length × breadth × height

(7x)(6x)(5x) = 45360

210x³ = 45360

x³ = 45360/210

x³ = 216

x³ = (6)³

X = 6

Therefore, length = 7x = 7(6) = 42 cm

breadth = 6x = 6(6) = 36 cm

Height = 5x = 5(6) = 30 cm.