If the length, breadth and height of a cuboid are in ratio 3: 4: 5 and its volume is 48000cm3 then find the length, breadth and height of the cuboid.
length = 60 cm, breadth = 80 cm and height = 100 cm
Given the ratio of length, breadth and height of a cuboid are in ratio 3: 4: 5 and volume is 48000cm3
∴ Let the length, breadth and height be 3x, 4x, 5x respectively
∵ Volume of cuboid = length×breadth× height
⇒ 3x × 4x × 5x = 48000cm3
⇒ 60x3 = 48000cm3
⇒ x3 = 8000cm3
⇒ x = 20 cm
Now the length = 3x
= 3 × 20cm
= 60cm
breadth = 4x
= 4 × 20cm
= 80cm
and height = 5x
= 5 × 20cm
= 100cm