Question

The volume of a cuboid is $30c{m}^3$. If the sides of the cuboid are prime numbers in length, then the sum of all the edges of the cuboid is equal to

• A. 48 cm
• B. 50 cm
• C. 35 cm
• D. 40 cm

Answer 1

The correct option is D 40 cm

Given that the volume of a cuboid is $30c{m}^3$.
Volume = Length × Breadth × Height
The dimensions of the cuboid are prime numbers.
∴ 30 = 5 × 3 × 2
Thus, the length, breadth and height can be 5 cm, 3 cm and 2 cm.
∴ Sum of all edges of the cuboid = 4(l + b + h)
= 4(5 + 3 + 2)
= 4 × 10
= 40 cm
Hence, the correct answer is option (d).