Question

the dimensions of a cuboid are in the ratio 5 : 3 :2. its volume is 30000 cm cube find the dimensions of the cuboid.

Answer 1

Let the dimensions be- 5y, 3y, 2y
Volume of cuboid = 30000 cm

According To Question, Formula applied will be-

Volume of Cuboid = length x breadth x Height

30000cm   =    (5y).(3y).(2y)

30000cm  =   30 y raised to power cube (here only y is raised to power cube)

30000cm/30 = y raised to power cube

cube root of 1000cm = y

10cm = y

Therefore, Length= 5x = 5 x 10cm = 50cm
Breadth= 3x = 3 x 10cm = 30cm
Height= 2x = 2 x 10cm = 20cm

Hence, the dimensions of the cuboid are- 50cm, 30cm, 20cm respectively.