Unit 9 Review (TEK 6.8BCD, 7.9AD, 8.7AB)

A pizza box is in the shape of a rectangular prism. The dimensions are shown on the diagram. What is the volume of the box in cubic inches?

• 54 in.³

• 324 in.³

• 972 in.³

• 108 in.³

A recipe says to use 5 pounds of soil in order to plant 48 flowers. What is the constant of proportionality that relates the number of flowers, y, to the number of pounds of soil used, x?

• F 48

• G 0.1

• H 240

• J 9.6

Ms. Coleman needs to paint the top of her new desk that is shaped like a trapezoid. Which equation can be used to help Ms. Coleman find the area of her desk?

• A = 1/2 h(24.5 + 28.5)

• A = 1/2 (28.5)h

• A = (24.5)(28.5)h

• A = 1/2 24.5 + h

A triangular prism and a triangular pyramid have congruent bases with the area B. If both of the figures have the same height, h, which formula could be used to find the volume of the triangular pyramid?

• V = B + h

• V = 1/3 Bh

• V = 3Bh

• V = Bh

Which statement about the figure is true?

• The triangle can be decomposed and rearranged into a rectangle, and the area of the rectangle will be the same as the area of the triangle.

• The triangle can be decomposed and rearranged into a rectangle, and the area of the rectangle will be greater than the area of the triangle.

• The triangle can be decomposed and rearranged into a rectangle, and the area of the rectangle will be smaller than the area of the triangle.

• The triangle cannot be decomposed and rearranged into a rectangle.

The area of the picture frame is 44 in. Which equation can be used to find the width of the base of the picture frame?

• 44x = 11 in.

• 11x = 33 in.

• 11 + 44x = 55 in.

• 44 = 11x

Some of the dimensions of a square pyramid are shown below. The height of the pyramid is 8 meters. What is the volume of the square pyramid in cubic meters?

• 96 m³

• 384 m³

• 1,152 m³

• 144 m³

A rectangular prism has a volume of P. What formula could be used to find the volume, V, of a rectangular pyramid with the same base area and height?

• V = 1/3 P

• V = 1/2 P

• V = P

• V = 3P

The net of a triangular pyramid is shown in the figure. The base of the pyramid is an equilateral triangle. What is the lateral surface area of the pyramid in square inches?

• 56 in.²

• 48 in.²

• 112 in.²

• 128 in.²

An ice cream cone has a height of 4.5 inches and a diameter of 2.2 inches. Which measurement is closest to the volume of the ice cream cone in cubic inches?

• 5.7 in.³

• 22.8 in.³

• 9.2 in.³

• 17.1 in.³