Exam 25: Counting Units Fast: Measurement Formulas

A regular square pyramid has 2-centimeter edges on its base, and the other edges are 3 centimeters long. A) Sketch a net for a pyramid that is similar to the one described above, with a scale factor of 1.5. Make sure to label the lengths on your sketch. B) If the original pyramid has a volume of 3.5 cubic centimeters, what will be the volume of the new pyramid in part A? Show (and explain) your work.

Find the approximate volume of the cone with the following dimensions.

What is the area of a rectangle with perimeter 20 meters and base 6 meters?

A cylindrical container has a volume of 320 $\pi$ cubic centimeters of water, and the diameter of the container is 8 centimeters. What is the height of the container?

What is the area of the figure below?

If the volume of a right circular cylinder with radius 5 centimeters is about 550 cubic centimeters, what is the approximate height of the cylinder?

In the shape below, the curves are semicircles, with the centers and radii indicated. Find the area and the perimeter of the shape.

An ice cream cone filled just to the top holds 28 cubic centimeters and has a height of 6 centimeters. What is the area of the base of the cone?

Find the approximate volume of the cone with the following dimensions.

What is the area of the trapezoid shown below?

Find the area of the figure below. (Angles that look like right angles are right angles).