The diagonal of a cube is 24 cm. Find its total surface area.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 1152 cm2
Formula used:
Diagonal of cube = √3 × side of cube ---- (1)
Total surface of cube = 6 × side2 ---- (2)
Calculations:
Let the side of cube be x
Using equation (1), we get
⇒ 24 = √3 × x
⇒ x = 8√3
Using equation (2), we get
Total surface area of cube = 6 × (8√3)2
⇒ 1152 cm2