Question 60

State whether the following statement is true or false:

The surface area of a cube formed by cutting a cuboid of dimensions $2 \times 1 \times 1$ in 2 equal parts, is 2 sq. units.

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Solution

False
The dimensions of the given cuboid are $2 \times 1 \times 1$ . It is sliced into two equal parts, which are cubes.
Then, the dimensions of the cube, so formed are $1 \times 1 \times 1$
$∴$ The surface area of the cube so formed $= 6 (S i d e)^{2} = 6 \times (1)^{2} = 6 s q u n i t s$
Hence, the surface area of the sliced cube is 6 sq units.

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