Question

A 4 cm edge cube is cut into small cubes each of edge 1 cm. calculate the total surface area of small cubes.

Also find the ratio of total surface area of large cube to that of the small cubes​

Answer 1

Given:-

• Side of cube = 4cm.
• It is cut into small cubes each of edge 1cm.

To find:-

• The total surface area of small cubes.
• The ratio of TSA of larger cube to that of smaller cube.

Solution:-

We know :

❥ Total surface area of cube = 6a²

Where 'a' is side of cube.

Acc to question :-

→ TSA of larger cube = 6(4)²

⇒ 6×16 = 96cm.

→ TSA of smaller cube = 6(1)²

⇒ 6×1 = 6cm.

The ratio of TSA of larger cube to that of smaller cube :

⇒ 96 / 6 = 16 / 1 .

⇒ 16 : 1.

∴ TSA of small cube is 6cm & The required ratio is 16:1.

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