Question

A cube of 2cm edge is cut off into 8 cubes of 1cm edge. What is their total surface area?
Ans)48 cm^2

Answer 1

Answer:

The total surface area is 48 cm².

Step-by-step explanation:

Given : A cube of 2 cm edge is cut off into 8 cubes of 1 cm edge.

To find : What is their total surface area?

Solution :

A cube of 2 cm edge is cut off into 8 cubes of 1 cm edge.

The surface area of small cubes cut off is $SA=6a^2$

Where, a=1 cm is the edge length

$SA=6(1)^2$

$SA=6\ cm^2$

The surface area of 1 small cube is 6 cm².

The surface area of 8 such cube is $8\times 6=48$ cm².

The total surface area is 48 cm².

Answer 2

48 cm²

Step-by-step explanation:

A cube of 2 cm edge is cut off into 8 cubes of 1 cm edge.

Therefore, each of the eight cubes has edge length = 1 cm.

Now, the total area of a cube is given to be 6a², where a is the edge length.

So, the total surface area of a 1 cm cube will be 6(1)² = 6 square cm.

Hence, the total surface area of 8 such cubes will be (8 × 6) = 48 cm². (Answer)