The surface area of a cube formed by cutting a cuboid of dimensions 2 × 1 × 1 in 2 equal parts is 2 sq. units. Is the given statement true or false

Solution:

When a cuboid of dimensions 2 × 1 × 1 is cut to form two cubes, the resultant cubes are of the dimensions 1 × 1 × 1.

The surface area of the resultant cubes will be:

Surface Area of cubes = 6s² (where s = edge of the cube)

Since s = 1 we have,

Curved Surface Area of the resultant cubes = 6(1)² = 6 sq units each.

✦ Try This: The surface area of a cube formed by cutting a cuboid of dimensions 4 × 2 × 2 in 2 equal parts is 24 sq. units. Is the given statement true or false

When a cuboid of dimensions 4 × 2 × 2 is cut to form two cubes, the resultant cubes are of the dimensions 2 × 2 × 2

The surface area of the resultant cubes will be:

Surface Area of cubes = 6s² (where s = edge of the cube)

Since s = 2 we have,

Curved Surface Area of the resultant cubes = 6(2)² = 24 sq units each.

Hence the statement is True(T).

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 11

NCERT Exemplar Class 8 Maths Chapter 11 Problem 60

The surface area of a cube formed by cutting a cuboid of dimensions 2 × 1 × 1 in 2 equal parts is 2 sq. units. Is the given statement true or false

Summary:

The surface area of a cube formed by cutting a cuboid of dimensions 2 × 1 × 1 in 2 equal parts is 2 sq. units. The statement is false(F)

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