The three co-terminous edges of a cuboid are36, 75 and 80 cm respectiv

1.	The three co-terminous edges of a cuboid are36, 75 and 80 cm respectively. The edge of thecube of the same volume will be:(a) 60 cm(c) 50 cm(b) 55 cm(d) 65 cm
Answer» Given the dimensions of cuboid: Length = 36 Breadth = 75 & Height = 80 We know that the volume of a cuboid = L * B * H Therefore the volume of the given cuboid = 36 * 75 * 80 ⇒ Volume = 216000 Also, it is given that this volume is same for the cube as well. Therefore the volume of cube is equal to a³, where a = side of the cube ⇒ volume of the cube = a³ = 216000 Taking cube root on both sides ⇒ a = 60 Therefore the side of a cube is 60.

The three co-terminous edges of a cuboid are36, 75 and 80 cm respectively. The edge of thecube of the same volume will be:(a) 60 cm(c) 50 cm(b) 55 cm(d) 65 cm

Answer»

Given the dimensions of cuboid:

Length = 36

Breadth = 75

& Height = 80

We know that the volume of a cuboid = L * B * H

Therefore the volume of the given cuboid = 36 * 75 * 80

⇒ Volume = 216000

Also, it is given that this volume is same for the cube as well.

Therefore the volume of cube is equal to a³, where a = side of the cube

⇒ volume of the cube = a³ = 216000

Taking cube root on both sides

⇒ a = 60

Therefore the side of a cube is 60.