A 4 cm cube is cut into 1 cm cubes. Calculate the total surface area o

1.	A 4 cm cube is cut into 1 cm cubes. Calculate the total surface area of all the small cubes.
Answer» Given, Original edge of cube = 4 cm Original volume of cube = 4³ = 64 cm³ After cutting, Edge of cube = 1 cm Hence volume of new cube = 1³ = 1 cm³ Number of small cubes thus formed = \(\cfrac{64}1\) = 64 Hence , total surface area of 64 cubes = 64 × 6a² = 64 × 6 = 384 m²

A 4 cm cube is cut into 1 cm cubes. Calculate the total surface area of all the small cubes.

Answer»

Given,

Original edge of cube = 4 cm

Original volume of cube = 4³ = 64 cm³

After cutting,

Edge of cube = 1 cm

Hence volume of new cube = 1³ = 1 cm³

Number of small cubes thus formed = \(\cfrac{64}1\) = 64

Hence , total surface area of 64 cubes = 64 × 6a² = 64 × 6 = 384 m²