Area, Perimeter, and Volume

Phoebe divided her rectangular vegetable garden into three sections, as show in the drawing above.

The potato section is a square with a side length of 14 meters.

The carrot section is a square with a side length of 9 meters.

What is the area, in square meters, of the corn section of phoebe's garden?

• 45 square meters

• 49 square meters

• 36 square meters

• 126 square meters

Priscilla built a cabinet shaped like a rectangular prism. The length of the base is 42 inches, and the width is 9 inches.

What is the area of the base of the cabinet in square inches?

• 102 inches

• 360 square inches

• 378 square inches

• 102 square inches

The length of one edge of a cube is 4 units.

What is the volume of this cube in cubic units.

• 12 cubic units

• 64 cubic units

• 36 cubic units

• 64 square units

The perimeter of a rectangular rug is 3.2 meters. The width of the rug is 0.6 meter.

What is the length of the rug?

• 1.8 meters

• 1 square meter

• 2.4 meters

• 1 meter

A square has a perimeter of 22 centimeters. What is the length of a side?

• 4.4 meters

• 5.5 centimeters

• 4.4 centimeters

• 5 square centimeters

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

• 252 cubic inches

• 50 cubic inches

• 49 cubic inches

• 294 cubic inches

Emily has a box shaped like a rectangular prism that is full of sugar cubes.

Each sugar cube has a volume of 1 cubic centimeter.

The top layer has a width of 6 cm and a length of 11 cm.

There are 3 layers of sugar cubes.

How many sugar cubes are in the box?

• 198 sugar cubes

• 66 sugar cubes

• 594 sugar cubes

• 99 sugar cubes

The shaded cube has a volume of 1 cubic unit. Cubes like this one will be used to completely fill a regular prism that has the dimensions shown.

How many of these shaded cubes will be needed to completely fill the rectangular prism?

• 48 cubes

• 80 cubes

• 480 cubes

• 160 cubes

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

A hexagon and it's side lengths are shown. What is the perimeter of the hexagon in feet?

• 13.6 feet

• 10.1 feet

• 16 feet

• 20.2 feet