A solid cube is cut into two cuboids of equal volume. What is the ratio of total surface area of the given cube to that of one of the cuboids?

Explanation

Let the side of the cube be 2a. Its total surface area is 6(2a)^2 = 24a^2. Cutting it in half creates a cuboid with dimensions 2a \times 2a \times a. Its total surface area is 2(4a^2 + 2a^2 + 2a^2) = 16a^2. The ratio is 24a^2 : 16a^2 = 3:2.

Related questions on Mensuration

• A pendulum swings through an angle of 30° and its end describes an arc of length 55 cm. What is the length of the pendulum? (Take $\pi = 22/...
• A conical tent has an angle of 60° at the vertex. If the curved surface area is 100 m^2, then what is the volume of the tent?
• A right circular cone and a hemisphere have equal base and equal volume. What is the ratio of the height of the cone to the radius of the he...
• A wire is in the form of an equilateral triangle with an area of 36\sqrt{3} cm^2. If it is changed into a semicircle, then what is its r...
• Let the area of the largest possible square inscribed in a circle of unit radius be x. Let the area of the largest possible circle inscribed...