Question

The length, breadth and height of a cuboid are in the ratio 3 : 4 : 6 and its volume is 576 cm³. The whole surface area of the cuboid is 

A. 216 cm² 

B. 324 cm² 

C. 432 cm² 

D. 460 cm²

Answer 1

We know that, 

Volume of cuboid = Length × Breadth × Height 

576 = 3x × 4x × 6x 

576 = 72x³

x = \(\sqrt[3]{\frac{576}{72}}\)

= 2 

Therefore, 

Total surface area of cuboid = 2 (lb + bh + hl) 

= 2 (3x × 4x + 4x × 6x + 6x × 3x) 

= 2 (48 + 96 + 72) 

= 432 cm²