The length and breadth of a cuboid are 15 cm and 8 cm respectively. If the volume of the cuboid is 1560 cm\(^3\), calculate the total surface area.
A
976cm\(^2\)
B
838cm\(^2\)
C
792cm\(^2\)
D
746cm\(^2\)
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
Volume of a cuboid = LBH = 1560cm\(^2\)
V = 15 x 8 x H = 1560
H = \(\frac{1560}{15 \times 8}\) = 13cm
Total surface area of a cuboid = 2(LB + LH + BH)
= 2((15 x 8) + ( 15 x 13) + ( 8 x 13))
= 2(120 + 195 + 104) = 2(419) = 838 cm\(^2\)
Source: Myschool Past Questions Archive (Record #71805)