Unit 1 Pre-Assessment

What is the volume of the rectangular prism?

• A

• B

• C

• D

The figure shows the base of a rectangular prism.

Eddie finds the volume of the shipping box shown. He states that because there are 16 cubes on the bottom layer and the prism has 3 layers, he can add 16 + 3 to find the volume. Eddie claims the volume of the box is 19 cubic units. What error did Eddie make when finding the volume and what is the volume of the box?

• Error: He used all of the layers to determine the volume. Volume is the total number of unit cubes that form the one layer. Volume: 16 cubic units

• Error: He added too many layers. There are only 2 layers in the prism, so 16 + 2 finds the volume. Volume: 18 cubic units

• Error: He determined too many unit cubes on the bottom layer. There are only 15 unit cubes on the bottom layer, so 15 + 15 + 15 finds the volume. Volume: 45 cubic units

• Error: He didn't count 16 cubes for each layer. The prism can be filled with 3 layers of 16 unit cubes, so 16 + 16 + 16 finds the volume. Volume: 48 cubic units

Which of the following describes the volume of a right rectangular prism?

• the sum of the edge lengths

• the product of the edge lengths

• the sum of the areas of the six faces

• the product of one-half the base and the height

Cam’s closet is 3 ft wide, 2 ft deep, and 8 ft tall. He decides to take everything out and fill the closet with cubic-foot storage boxes instead. What is the maximum number of storage boxes that fit in the closet?

• A. 48

• B. 24

• C. 16

• D. 13

Which TWO strategies would help the store determine how many cube erasers can fit into one shipping box?

• The store could find the product of 3 and 12.

• The store could multiply the number of edges by 12.

• The store could multiply the length of the box by its width and then multiply that product by the height.

• The store could count the number of eraser cubes it takes to cover the bottom of the box and then multiply by the height of the box.

• The store could count the number of eraser cubes it takes to cover the bottom of the box and then multiply by the number of faces.

Nico's family is moving to a new house. His mother asks him to assemble a box that will hold his desk lamp and keep it safe during the move. If the total volume of Nico's box is 150 cubic inches, what is the height of the top portion of Nico's box?

• 3 inches

• 5 inches

• 6 inches

• 7 inches

• 16

• 15

• 13

• 12

• 270 points

• 450 points

• 2,070 points

• 2,500 points