Area, Perimeter, and Volume of Rectangular Prisms

Gabriel bought a dog crate shaped like a rectangular prism with the dimensions shown in the model. What is the area, in square inches, of the shaded floor of the dog crate?

The four figures shown are rectangular prisms made of unit cubes. Which figures have a volume of 12 cubic units?

• Figures II and IV only

• Figures I and III only

• Figures I, II, and IV only

• Figures I, II, III, and IV

The shaded cube has a volume of 1 cubic unit. Cubes like this one will be used to completely fill a rectangular prism that has the dimensions shown. How many of these shaded cubes will be needed to completely fill the rectangular prism?

• 48

• 80

• 160

• not here

Raymond used 42 cubes to build the first layer of a rectangular prism. The edge length of each cube was 1 inch. The finished prism had a total of 7 layers. What is the volume of Raymond's prism, in cubic inches?

• 2 x 3 x 4 =24 units cubed
• 3 x 2 x 5 = 30 units cubed  
• 2 x 5 = 10 units squared
• 5 x 6 x 2 = 60 units cubed

What is the volume of this figure?

• 112 cm³

• 100 cm³

• 56 cm³

• 86 cm³

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

• 144 ft³

• 142 ft³

• 36 ft³

• 68 ft³

The baking pan above has a length of 20 inches, a width of 9 inches, and a height of 3 inches. What is the volume

of the pan?

• 680 in.³

• 540 in.³

• 240 in.³

• 820 in.³

The figure represents a water trough in the shape of a rectangular prism. The dimensions of the water trough are given in inches. What is the volume of the water trough in cubic inches.

Mathematical Equivalence

OFF

• 5.25 in³

• 262.5 in³

• 26.25 in³

• 525 in³