Packing Cubes in Prisms

If a rectangular prism's volume is 420cm³.  The prism has a  length of 12cm, and width of 7cm, what is height of the rectangular prism? 

• 12cm

• 5cm

• 420cm

• 84cm

How many unit cubes are in each layer?

• 2

• 4

• 5

• 10

Which of these equations could be used to find the volume of this figure? Check all that apply.

• 4 + 4 + 4 + 4 = 16

• 8 + 6 = 14

• 8 x 2 = 16

• 4+ 8 + 8 = 20

• 4 x 4 = 16

Look at Figures A and B. Which one has the greater volume, and why?

• Figure A because it is standing upright.

• Figure B because I can see 15 sides, but I know there are more that are hidden.

• Figure A because when I counted the unit cubes, I got 25.

• Figure B because there are 9 unit cubes.

Look at the red and pink figures. How many of the red figures would it take to build the pink figure?

• 2

• 3

• 6

• 18

If each cube in the rectangular prism given below measures 1 cubic unit, what is the volume of this prism?

• 42 cubic units

• 50 cubic units

• 48 cubic units

• 46 cubic units

What is the volume of this rectangular prism?

• 60 cubic centimeters

• 15 cubic centimeters

• 20 cubic centimeters

• 6 cubic centimeters

The rectangular prism has a total surface area of 158 in². Use the net below to determine the missing dimension, x.

x = ___in

Tags

7.9.C

7.9.D

Two students were packing boxes with centimeter cubes. They placed 12 centimeter cubes on the bottom of the box. What is the volume of the box if they place another 6 layers of centimeter cubes in the box?

• 24 cubic centimeters

• 18 cubic centimeters 

• 72 cubic centimeters 

• 84 cubic centimeters 

If the volume of a rectangular prism is 168 cubic inches, the height is 8 inches, and the width is 7 inches, what is the length?

• 9408 inches

• 3 cubic inches

• 9408 cubic inches

• 3 inches