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# Surface Area

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

# Surface Area - Cuboid

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.

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.

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.

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

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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