Question

The length and height of a cuboidal warehouse is 6m, 4m and 4m respectively. How many cube shaped boxes of side 40 cm will fill the warehouse completely?

Answer 1

Hi ,

Dimensions of the Cuboidal warehouse :

length ( L ) = 6m

breadth ( B ) = 4m

height ( H ) = 4m

Volume of the Cubiod = V

Dimensions of the cube shaped box :

side = a = 40cm = 0.4 m

volume of the each cube = v

Let the number of cubes required = n

n = V/v

n = ( LBH )/ a³

n = ( 6 × 4 × 4 )/( 0.4 × 0.4 × 0.4 )

after simplification , we get

n = 1500

Therefore ,

number of cube shaped boxes required

to fill the warehouse completely = n = 1500

I hope this helps you.

: )