Area and Volume of 2D and 3D Shapes

Curtis is making a triangular frame with a base of 12 feet and a height of 6 feet. What is the area of the frame?

• 144 ft²

• 72 ft²

• 36 ft²

• 18 ft²

Two figures are arranged as shown. What is the area of the white figure?

• (12-6)²

• 2(12) + 2(12-6)

• 12²-6²

• 12(12 - 6) + 6(12-6)

• 6²-12²

A park has the shape of a trapezoid. The shortest side of the park and its height have the same dimensions. What is the area of the park?

• 36 miles²

• 607.5 miles²

• 216 miles²

• 108 miles²

Which equation can be used to find, A, the area of the parallelogram shown?

• A = 1/2 x 7 x 10

• A = 1/2 x 5 x 10

• A = 10 x 5

• A = 10 x 7

Paula drew the sketch below of a kite that she wants to make. What is the area of Paula's kite?

• 480 inches²

• 960 inches²

• 1920 inches²

• 900 inches²

Which can be used to find the volume of a rectangular prism with length of 8.4 meters, width of 5 meters, and heigh of 6.5 meters?

• V = (8.4 + 5) x 6.5

• V = 42 + 6.5

• V = 8.4 x 5 x 6.5

• V = 42 x 6.5

• V = 42 x 6.5 x 6.5

What is the surface area of the triangular prism shown?

• 485 yards²

• 1,066 yards²

• 1,120 yards²

• 1,545 yards²

The net below represents a container. What solid figure does it show?

• rectangular prism

• cube

• rectangular pyramid

• hexagonal prism

How many vertices are in the container?

• 16

• 6

• 4

• 8

A square pyramid is shown. What is the surface area of the pyramid?

• 48 meters²

• 36 meters²

• 84 meters²

• 132 meters²