Surface Area and Volume Exercises

Example 1

Find the lateral and surface area of the pyramid.

Hint

If the formulas elude you, draw the net.

Example 2

Find the surface area of the octahedron.

Hint

An octahedron is really just two identical pyramids with their bases taped together.

Example 3

Find the surface area of the solid.

Hint

The four identical pyramids' lateral area, the faces of the prism, and the base of the prism are all included in the surface area.

Example 4

Rabbi Schwartz noticed that the net of a regular hexagonal pyramid made a shape similar to the Star of David, so he decided to build a synagogue in that shape. If he wants to paint the building light blue, how much area will he cover?

Hint

In this case, "area" means, "lateral area." You didn't think he was going to paint the ground, did you? Oy vey!

Surface Area and Volume Exercises

Example 1

Example 2

Example 3

Example 4

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