Question

The sum of the edges of a cube is

24 cm. Which one of the following is

the volume of the cube?

(A) 27 cu. cm

(B) 8 cu. cm

(C) 64 cu. cm

(D) None of the above​

Answer 1

The volume of cube is (B)8 cu. cm.

• Given that sum of edges of a cube is 24 cm.
• Cube consists of total 12 edges.(4 edges that make the lower square, 4 that make the lower square and 4 that joins both the squares to form cube).
• Let the side of cube be x.
• Therefore, 12x =24

x =2 cm.

• Now we have to calculate the volume of the cube.
• The side of cube obtained is 2 cm.
• Volume of cube = side × side × side = 2 × 2 × 2 = 8 cu.cm.