Question

A solid cube is cut into two cuboids of equal volumes. Find the ratio of total surface area of the given
cube to that of one of the cuboid.​


I HOPE THIS QUESTION IS NOT A LONG QUESTION

Answer 1

Let the side of solid cube = a

TSA of cube = 6a²

When the cube is cut into two cuboid with equal volume, the cube will be cut into two equal halves through its side.

the cuboid thus formed will have dimension,

length (l)= a

breadth (b)= a

height (h)= a/2

TSA = 2 (lb + bh + lh)

       = 2 (a² + a²/2 + a²/2)

       = 2 (2a²)

       = 4a²

Ratio = (TSA of cuboid) : (TSA of cube) = 4a² : 6a² = 2:3

The Ratio is 2:3.

Hope It Helps.

Answer 2

Answer:

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