Question

a solid cube of edge 20 cm is metled and cast whase base measurses 25 cm by 20 cm. find the height of the cuboid

Answer 1

If the side of a cube is ' a '

Then the volume is a³

Volume of the cube is 8000 cm³

Volume of a cuboid is l×b×h

l = 25 , b =20 , h =?

If cube is melted into cuboid volume will remain the same

25 × 20 × h = 8000

h= 8000/ 500

h = 16

The height will be 16 cm

Answer 2

Find the volume:

Volume of the cube = Length³

Volume of the cube = 20 x 20 x 20 = 8000 cm³

Find the height of the cuboid:

Volume = Length x Breadth x Height

8000 = 25 x 20 x Height

8000 = 500 x Height

Height = 8000 ÷ 500 =16 cm

Answer: 16 cm