Area & Volume Review

Which of the following best described how to find the area of the composite figure shown below?

• 20²π+ 6(2.5)

• 15²π+ 6(5)

• 10²π+ 6(5)

• 7.5²π+ 6(20)

What is the approximate area of the composite figure shown below to the nearest hundredth?

• 14.07 cm²

• 51.52 cm²

• 71.77 cm²

• 80.01 cm²

Clyde is retiling the den, entrance area, and kitchen floor as shown in the drawing.

In order to allow for errors, he plans to purchase 10% more tile than what is needed to cover the total area of these floor spaces. How many square feet of floor tile will he need to order?

• 380

• 416

• 418

• 458

The dimensions of Rectangle ABCD are shown in the figure.

What is the area, in square units, of the shaded region?

• 4.5

• 7.5

• 13.5

• 19.5

The figure below shows the net for a rectangular prism.

Which expression can be used to find the area of the given net?

• 2(10)(8) + 2(10)(3) + 2(8)(3)

• 4(10) + 2(8) + 8(3)

• .

  (2)(10) + (8)(3)

• 2(10)² + 2(8)² + 2(3)²

The dimensions of a cylinder are shown in the image below.

The lateral surface area of the cylinder is ​ (a)   square inches. The total surface area of the cylinder is ​ (b)   square inches.

• 20π
• 28π
• 5π
• 8π
• 24π

The dimensions of a cone are shown in units below.

The lateral surface area of the cone is approximately ​ (a)   square units, and the total surface area of the cone is approximately ​ (b)   square units.

• 51.97
• 67.88
• 86.05
• 117.64
• 62.68
• 181.26

Mo is wrapping a gift in a rectangular box for his mother.

What is the surface area of the box Mo needs to wrap in square inches?

Mathematical Equivalence

ON

A 16-foot monument is composed of a rectangular prism and a square pyramid, as shown. If the exposed surfaces of the monument are to be covered with one-inch square tiles, approximately how many tiles will be needed?

• 44,928 tiles

• 46,152 tiles

• 51,336 tiles

• 62,208 tiles

The dimensions of three cylinders are shown in the figure below.

What is the volume of each cylinder?

Volume of Cylinder A: ​ (a)   cubic inches

Volume of Cylinder B: ​ (b)   cubic inches

Volume of Cylinder C: ​ (c)   cubic inches

• 4.5π
• 2.25π
• 6π
• 9π
• 12π
• 18π