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A spherical balloon is inflated until its volume becomes 27 times its original volume. How much does its surface area increase?

In the diagram above shows a cuboid with \(x=6, y=3,\) and \(z=4.\) Find the surface area of the cuboid.

**Note:** The above figure is not drawn to scale.

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The above diagram shows a large cuboid with a smaller cuboid cut off from the corner. If \(\alpha=6, \beta=3,\) \(\gamma=6,\) \(x=11, y=6,\) and \(z=12,\) what is the surface area of the remaining body?

**Note:** The above figure is not drawn to scale.

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The cuboid in the above diagram is to be tiled by square-shaped tiles on all six faces of the cuboid. If \(x=10\) cm, \(y=4\) cm, \(z=4\) cm, and the side length of each tile is \(2\) cm, how many tiles are needed?

**Note:** A tiling is a non-overlapping arrangement of tiles covering the entire surface area with no gaps. The above figure is not drawn to scale.

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What is the surface area of a cube inscribed in a sphere with radius \(6,\) as shown in the above diagram?

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The volume of the cuboid shown in the above diagram is \(56.\) If \(x=7\) and \(y=2,\) what is the surface area of the cuboid?

**Note:** The above figure is not drawn to scale.

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