pappueshwar wrote:What is the surface area of cuboid C?
1. The length of the diagonal of C is 5.
2. The sum of the sides of C is 10.
OA IS C
If l = length, b = width and h = height of cuboid (rectangular prism), then
Surface area of a cuboid = 2(lb + bh + lh)
(1) The length of the diagonal of C is 5.
Length of the diagonal in a cuboid = √(l² + b² + h²)
So, √(l² + b² + h²) = 5 or (l² + b² + h²) = 25, which is definitely NOT sufficient to find the surface area of C.
(2) The sum of the sides of C is 10 implies l + b + h = 10, which is again NOT sufficient to find the surface area of C.
Combining (1) and (2):
(l + b + h)² = (l² + b² + h²) + 2(lb + bh + lh)
(10)² = 25 + 2(lb + bh + lh), solving which we can find the surface area of C; SUFFICIENT.
The correct answer is
C.
