Packing Fractional Cubes

What is the volume of the right rectangular prism?

• 4 3/4 in cubed
• 4 1/8in cubed
• 3 3/4 in cubed
• 2 1/8 in cubed

Tags

CCSS.7.G.B.6

The right rectangular prism below is made up of 8 cubes. Each cube has an edge length of 1/2 inch. What is the volume of this prism?

• 1 cubic inch
• 2 cubic inches
• 4cubic inches
• 8 cubic inches

Tags

CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4

A storage box is shaped like a rectangular prism, as shown below. Shelly stored 1/2 -inch cubes in the box. How many cubes are needed to completely fill the box?

• 16 cubes
• 72 cubes
• 108 cubes
• 54 cubes

Tags

CCSS.5.MD.C.5A

CCSS.6.G.A.2

The Panther Jewelry Company has containers shaped like rectangular prisms that are packed with cube-shaped ring boxes. Each ring box is 1/12 foot on each edge. A model of each container is shown. Which expression could be used to find the volume of one container in cubic feet?

• ²¹/_{12 *} ⁴/₁₂ + ⁹/₁₂
• ²¹/_{12 *} ⁴/_12 * ⁹/₁₂
• ²¹/₁₂ +⁴/₁₂ + ⁹/₁₂
• ²¹/₁₂ + ⁴/₁₂ *+ ⁹/₁₂

Paul has a storage bin in the shape of a rectangular prism. The storage bin measures 3.5 feet long, 2 feet wide, and 2 feet tall. Paul will put boxes that measure 0.5 foot on each side into the bin. What is the greatest number of boxes Paul can put into the bin?

• 14
• 112
• 56
• 224

Tags

CCSS.5.MD.C.5A

CCSS.6.G.A.2

Tommy has a box in the shape of a rectangular prism. The box has a length of 1 meter, a width of 0.5 meter, and a height of 0.3 meter. Terry stacks 0.1 meter cubes in the box. Which expression can Tommy use to determine the volume of this box in cubic meters? 

• 0.5 x 0.3 x 10 x 1
• 0.5 x 0.3 x 1.0
• 0.5 x 0.3 x 0.1
• 5 x 3 x 10

Tags

CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4

Addisen made a planter shaped like a rectangular prism. The edge lengths of the planter are given in meters (m), as shown. What is the volume of Addisen's planter?

• 1/100 cubic meter
• 1/20 cubic meter
• 1/14 cubic meter
• 1/29 cubic meter

Tags

CCSS.7.G.B.6

A box in the shape of a rectangular prism is shown. Sydney will use the box to store a banner. What is the volume of the box?

• 1/36 cubic foot
• 5/11 cubic foot
• 5/9 cubic foot
• 1/12 cubic foot

Two baking pans are in the shape of rectangular prisms.
  • Pan A is 8 inches by 8 inches by 1 ½ inches.
  • Pan B is 9 inches by 9 inches by 2 ¾ inches.
A batter for brownies will completely fill Pan A. If the same amount of batter is put into Pan B, which measurement would be closest to the number of inches between the top of the batter and the top of Pan B? 

• 1.25
• 1.5
• 2.75
• 4.25

Tags

CCSS.7.EE.B.3

Garrett has a plastic container in the shape of a rectangular prism. The container is 8 ½ inches long, 4 inches wide, and 3 ½ inches high. What is the volume of his plastic container?

• 34 cubic inches
• 119 cubic inches
• 97 cubic inches
• 16 cubic inches

Tags

CCSS.7.G.B.6