Question

The dimension of a cuboid are 25 cm, 20 cm and 16 cm.Find the length of a cube which has the same volume as this cuboid

Answer 1

Answer : 20 cm

Step-by-step solution :

Dimensions of cuboid,

Length = 25 cm, Breath = 20 cm and height = 16 cm

Volume of cuboid = l × b × h

V of cuboid = 25 cm × 20 cm × 16 cm

= 8000 cm³

Now, a cube of same volume = 8000 cm³

Volume of cube = l³

8000 cm³ = l³

2³ × 10³ cm³ = l³

2 × 10 cm = l

20 cm = length

Answer 2

According to the Question

Dimension of a cuboid are 25 cm, 20 cm and 16 cm

Volume of cuboid

⇒ 25 × 16 × 20 = 8000 cm^3

Volume of cube = 8000 cm^3

Side of cube = ∛8000

= 20

Side of the cube = 20