Question

A cuboid measures 24m×12 m×10 m . How many cubes of side 3 m can fit in the box

Answer 1

106 cubes fit in the box

Answer 2

Given : length = 24 m , breadth= 12 m , height = 10 m
             edge of a cube = 3 m 
to find how many cubes of side 3 m can fit in the cuboid, let us first find the volume of the cuboid:

volume of the cuboid = l × b × h ⇒ 24×12×10 = 2880 m³

now, volume of cube :
vol of cube = a³ (where 'a' is the side )  ⇒ 3³ = 27 m³

                                                                   
no. of cubes that can fit in the cuboid = volume of the cuboid ÷ volume of the                                                                                                                  cube
⇒ 2880 ÷ 27 = 106.66 ⇒ 106 cubes