A solid metallic cuboid of dimensions 18 cm × 36 cm × 72 cm is molted…

Question

A solid metallic cuboid of dimensions 18 cm × 36 cm × 72 cm is molted and recast into 8 cubes of the same volume. What is the ratio of the total surface area of the cuboid to the sum of the lateral surface areas of all…

Accepted Answer

Option B. 7 : 8. Answer & Solution Answer: Option B Solution: Let the side of new cube is x cm Volume of cuboid = 8 x volume of new cube 18 × 36 × 72 = 8x3 18 × 18 × 18 = x3 x = 18 cm & Total surface area of cuboid8 × Curved surface area of cube & = 2 ( lb + bh + hl )8 × 4x^3 & = 7/8

A solid metallic cuboid of dimensions 18 cm × 36 cm × 72 cm is molted and recast into 8 cubes of the same volume. What is the ratio of the total surface area of the cuboid to the sum of the lateral surface areas of all 8 cubes?

Solution