Question

A rectangular box has length 20cm, width 6cm and height 4cm. find how many cubes of size 2cm that will fit into the box.​

Answer 1

`\boxed{\pink{\sf The \ number \ of \ cubes \ that \ can \ be \ fitted \ is 60 .}}`

Explanation:

Given dimensions of the box = 20cm × 6cm × 4cm .

Dimension of the cube = 2cm × 2cm × 2cm .

Therefore the number of cubes that can be fitted into the box will be equal to the Volume of box divided by the Volume of the cube. So ,

`\boxed{\red{\bf \implies No. \ of \ cubes \ = (Volume \ of \ box)/(Volume \ of \ cube )}}`

`\bf \implies n_(cubes) = (20cm * 6cm * 4cm .)/(2cm * 2cm * 2cm ) \\\\\bf\implies n_(cubes) = 10 \ times 3cm * 2cm \\\\\implies \boxed{\bf n_(cubes)= 60 }`

Hence the number of cubes that can be fitted in the box is 60 .