Question

How many cubes of edge 4cm, each can be cut out from cuboid whose length, breadth and height are 20 cm, 18 cm and 16 cm respectively

Answer 1

The volume of a cuboid formed with the measures 20 cm × 18 cm × 16 cm 

(V₁) = l₁b₁h₁ 

= 20 × 18 × 16 

Volume of a cube (V₂) = s³ 

s = 4 cm (given) 

∴ V₂ = (s)³ = (4)³ = 4 × 4 × 4 cm³ 

∴ No. of cubes are required

= \(\frac{v_1}{v_2} = \frac{20\,\times\,18\,\times16}{4\,\times\,4\,\times\,4}\) 

= 90