Question

A metal sheet 32 cm long, 8 cm broad and 2 cm thick is melted into a cube. The side of the cube is​

Answer 1

Answer:

8cm

Step-by-step explanation:

As the volume of the cuboid sheet = the voulme of the cube

32*2*8 = vol(cube)

512cm3=vol cube

Volume of a cube = side * side * side

512 cm3 = side3

side = 3√512

side = +-8 cm

side = 8cm {as length cannot be negative}

Answer 2

Answer:

Length of the sheet, l = 32 cm

Breadth of the sheet, b = 8 cm

Thickness of the sheet, h = 2 cm

Volume of the sheet = l×b×h

= 32 × 8 × 2

= 512 cm^3

Let the side of the cube be x cm.

Volume of the sheet = Volume of the cube

$l×b×h = x^3 \\ 512 = x^3 \\ x = \sqrt[3]{512} \\ x = 8$

Thus, the side of the cube is 8 cm.