Basic Formulas of Geometry

Mr. Kramer’s patio is in the shape of a trapezoid. The trapezoid and its dimensions are shown in the diagram. What is the area of the patio? *See reference sheet*

• 144 square feet

• 252 square feet

• 315 square feet

• 360 square feet

A box of chocolate chip cookies is in the shape of a rectangular prism. The rectangular bottom of the box is 10 inches long and 3 inches wide.

What is the area, in square inches, of the bottom of the cookie box? *See reference sheet*

• 20 square inches

• 30 square inches

• 40 square inches

• 60 square inches

A box of chocolate chip cookies is in the shape of a rectangular prism. The rectangular bottom of the box is 10 inches long and 3 inches wide. The height of the cookie box is 8 inches. What is the volume, in cubic inches, of the box? *See reference sheet for volume formula*

• 100 cubic inches

• 180 cubic inches

• 220 cubic inches

• 240 cubic inches

A box of chocolate chip cookies is in the shape of a rectangular prism. The rectangular bottom of the box is 10 inches long and 3 inches wide.

A box of oatmeal cookies is also in the shape of a rectangular prism. It has the same length and width as the box of chocolate chip cookies, but it has a volume of 210 cubic inches. What is the height of the box of oatmeal cookies? *See reference sheet for volume formula*

• 7 inches

• 8 inches

• 9 inches

• 12 inches

Linda bought a circular tablecloth that has a radius of 3 feet. What is the circumference, to the nearest foot, of Linda’s tablecloth? (Use 3.14 for π.) *See reference sheet*

• 6 feet

• 9 feet

• 19 feet

• 28 feet

A park is in the shape of a rectangle. The park and its measurements are shown in the diagram below. What is the area, in square yards, of the park? *See reference sheet*

• 1,070

• 2,140

• 120,000

• 240,000

A block of cheese is in the shape of a rectangular prism. The block of cheese and its dimensions are shown below. What is the total surface area of the block of cheese? *See reference sheet*

• 68 square inches

• 96 square inches

• 136 square inches

• 192 square inches

A sign is in the shape of a triangle. It has a base of 12 inches and an area of 120 square inches. What is the height of the sign? *See reference sheet*

• 5 inches

• 10 inches

• 12 inches

• 20 inches

The base of a lampshade is in the shape of a circle and has a diameter of 13 inches. What is the circumference, to the nearest tenth of an inch, of the base of the lampshade? (Use 3.14 for π.) *See reference sheet*

• 13.3 inches

• 20.4 inches

• 26.0 inches

• 40.8 inches

A mirror in the shape of a circle is shown in this diagram. Based on the dimension in the diagram, what is the area, to the nearest tenth of a square inch, of the mirror? (Use 3.14 for pi.) *See reference sheet*

• 56.5

• 254.3

• 798.6

• 1017.4