Question

How many cubes with side length of 1/3cm does it take to fill the prism l=2 w=4/3 h=2

Answer 1

Given :-

• Dimensions of cube = 1/3 cm *1/3cm *1/3cm.
• Dimensions of cuboidal prism = 2cm*4/3cm *2cm .

To Find :-

• The number of cubes that can be filled.

Answer :-

The number of cubes will be say ' n ' ,

• n = Volume of cuboid / Volume of cube
• n = 2cm*4/3cm *2cm ÷ 1/3 cm *1/3cm *1/3cm
• n = 2² * 4 * 3³ / 3
• n = 16 * 9
• n = 144

Hence the number of cubes is 144.