The diagonal of a cube is 5
3
cm. Find the surface area of the cube.
- A650 cm²
- B25 cm²
- C250 cm²
- D150 cm²
Solution & Step-by-step Explanation
Let the side length of the cube be acm.
The formula for the diagonal of a cube is:
Diagonal=a
3
Given that the diagonal is 5
3
cm:
a
3
=5
3
a=5cm
The formula for the total surface area of a cube is:
Surface Area=6a
2
Surface Area=6×(5)
2
=6×25=150cm
2
The formula for the diagonal of a cube is:
Diagonal=a
3
Given that the diagonal is 5
3
cm:
a
3
=5
3
a=5cm
The formula for the total surface area of a cube is:
Surface Area=6a
2
Surface Area=6×(5)
2
=6×25=150cm
2