Question

find the number of 6cm cubes that can be cut out of a cuboid measuring 18cm × 15cm×8cm​

Answer 1

The number of cubes cut from the cuboid are 10.

• dimensions of the cuboid = 18cm ×15cm×8cm
• length of the side of the cube = a = 6cm
• Let the number of cubes made by the  given cuboid = n
• Number of cubes obtained will be obtained by dividing the volume of cuboid by the volume of cube.

n = ( volume of the cuboid ) / volume of cube

n = ( lbh ) / a³

n = ( 18cm × 15cm × 8cm ) / ( 6cm )³

n = ( 18 × 15 × 8 ) / ( 6 × 6 × 6 )

n = 10

• Therefore ,the number of cubes cut from cuboid = n = 10