Student Study Guide Unit 7

A right rectangular prism has a length of 7½ feet, a width of 6½ feet, and a height of 6 feet. What is the volume of the prism? (MAFS.6.G.1.2)

• 48 feet squared

• 58 feet squared

• 52 feet squared

• 48 1/2 feet squared

Draw two segments that decompose the figure into three triangular or rectangular regions.

B. Identify the area of the original figure.

• 24 square units

• 14 square units

• 24 units

• 18 square units

Carl is shipping a cardboard box that is a rectangular prism. The net of Carl’s box is shown.

S.A. = 2bh + 2bw + 2wh

is the area of cardboard, in square inches, required for Carl’s box?

• 108 square inches

• 160 square inches

• 208 square inches

• 280 square inches

What is the area, in square inches, of the shape? (MAFS.6.G.1.1)

• 52 square centimeters

• 48 square centimeters

• 46 square centimeters

• 54 square centimeters

The surface area of a rectangular prism is 115 square inches. The net of the prism is shown.What are possible dimensions of the prism? (MAFS.6.G.1.4)

• 2, 4, 8 1/4

• 2, 4, 5 1/2

• 2, 4, 8 1/2

• 3, 6, 6 1/2

Alex has 64 cubes, with dimensions in feet (ft.), like the one shown.

He uses all the cubes to fill a box shapes like a larger rectangular prism. There are no gaps between the cubes.

What is the volume, in cubic feet, of the larger rectangular prism?

What is a possible set of dimensions, in feet, of the larger rectangular prism?

• 16 cubic feet; 4 x 2 x 2

• 4 cubic feet; 2 x 2 x 1

• 8 cubic feet; 2 x 2 x 2

• 12 cubic feet; 2 x 2 x 3

What is the area, in square inches, of the pentagon?

• 39 square inches

• 32 square inches

• 27 square inches

• 37 square inches

Word Problem Walk #8

An environmentalist stacked large stacks of recycled paper. The length, width, and height of each stack of recycled paper is shown below. (MAFS.6.G.1.2)

The environmentalist stacked 3 stacks on top of each other. What is the volume, in cubic feet, of all three stacks of recycled paper?

• 6 2/3 feet cubed

• 20 feet cubed

• 13 1/3 feet cubed

• 22 feet cubed

What is the area, in square inches, of the trapezoid below?

• 21 inches squared

• 42.6 inches squared

• 85.2 inches squared

• 44 inches squared

Find the missing measure.

• 5.5 inches

• 11 inches

• 12 inches

• 6 inches