Topic 7 Assessment Form B

Curtis is making a triangular frame with a base of 12 feet. The perpendicular distance from the base of the frame to its vertex is 6 feet. What is the area of the frame?

• 144 ft²

• 72 ft²

• 36 ft²

• 18 ft²

Two figures are arranged as shown. Select all the expressions that can be used to find the area of the white figure.

• (x - 6)²

• 2x + 2(x - 6)

• x² - 6²

• x(x - 6) + 6(x - 6)

• 6² - x²

A park has the shape of a trapezoid. The shortest side of the park and its height have the same dimension. Write numbers in the boxes to show the missing dimensions. What is the area of the park?

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

• A. A = 1/2 × 7 × 10

• B. A = 1/2 × 5 × 10

• C. A = 10 × 5

• D. A = 10 × 7

Paula drew a model on grid paper of a kite-shaped mirror she wants to buy. Each grid line represents 10 in. Her drawing has coordinates (2, 1), (0.4, 5), (2, 7), and (3.6, 5). Sketch Paula’s model, and calculate the area of the real mirror.

• Area = 960 square inches

• Area = 80 square inches

• Area = 100 square inches

• Area = 140 square inches

Write and simplify an expression for the volume of a rectangular prism with length ℓ m, width 5 m, and height 6.5 m. What is the volume if the length is 8.4 m?

• The volume is 8.4 × 5 × 6.5 = 273 m³.

• The volume is 8.4 × 5 × 6.5 = 273.5 m³.

• The volume is 8.4 × 5 × 6.5 = 272 m³.

• The volume is 8.4 × 5 × 6.5 = 274 m³.

What is the surface area of the triangular prism shown?

• 485 yd²

• 1,066 yd²

• 1,120 yd²

• 1,545 yd²

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

• Rectangular prism (or box)

• Cylinder

• Triangular prism

• Sphere

What is the surface area of the pyramid?

Heather has a thin piece of wood that measures 14 inches long by 13 inches wide. She wants to make a box with a height of 3 inches. Does Heather have enough wood to make a box that has bases measuring 6.5 inches by 6.5 inches?

• Yes, she has enough wood.

• No, she does not have enough wood.