Free Printable Surface Area/Volume Review

Worksheets

Surface Area/Volume Review

Total questions: 20

Worksheet time: 1hrs 3mins

Name

Class

Date

What does "P" stand for in the surface area formulas?

Precipitation

Parallel

Perimeter of the Base

What is the total surface area formula for a prism?

S = 2πrh +2πr²

S = Ph + 2B

S = πrl + πr²

S = ½Pl + B

What is the surface area formula for a cylinder?

SA = πrl + πr²

SA = 2πrh + 2πr²

SA = 4πr²

SA = πr²h

On a RECTANGULAR PRISM, what shape are the bases?

Circles

Triangles

Trapezoids

Rectangles

On a TRIANGULAR PRISM, what shape are the bases?

Circles

Rectangles

Triangles

Squares

Find the Lateral surface area of the Cylinder.

565.49 cm²

282.74 cm²

439.82 cm²

192.25 cm²

Find the total surface area of a cylinder with a radius of 4 and a height of 3.

175.92 mm²

709.89 mm²

75.36 mm²

100.48 mm²

What is the TOTAL surface area of this figure?

3000 cm ²

164 cm ²

236 cm ²

328 cm²

Find the total surface area of the prism.

161 square feet

1,700 square feet

75 square feet

186 square feet

10.

Find the area that the label covers on the cylinder that has a radius of 1 in. and a height of 2 in.

12.56 in²

6.28 in²

39.44 in²

18.84 in²

11.

Above is a Triangular Prism with base lengths 3 m, 4 m, 5 m, and a height of 6m. What is the Lateral surface area?

72 m²

84 m²

92 m²

96 m²

12.

How do you find the volume of a cylinder?

V= ^1/₃πr²h

V= ^4/₃πr²h

V= ^4/₃πr³

V= πr²h

13.

How do you find the volume of a cone?

V= ^1/₃πr²h

V= ^4/₃πr²h

V= ^4/₃πr³

V= πr²h

14.

How do you find the volume of a sphere?

V= ^1/₃πr²h

V= ^4/₃πr²h

V= ^4/₃πr³

V= πr²h

15.

A table tennis ball has a diameter of 40 mm. What is the approximate volume of the table tennis ball in cubic millimeters?

1,676 mm³

18,850 mm³

33,510.3 mm³

268,083 mm³

16.

Russell is filling a cylinder-shaped swimming pool that has a diameter of 20 feet. He fills it with water to a depth of 3 feet. What is the volume of the water in the pool, to the nearest cubic foot? Leave answer in terms of $\pi$ .

$300\pi\ ft^3$

$942\pi\ ft^3$

$2958\pi\ ft^3$

$3768\pi\ ft^3$

17.

Jack is making a cylindrical wax candles. If he plans to make candles with a diameter of 7 cm and a height of 12 cm, approximately how many cubic centimeters of wax will Jack need to make the candles?

789 cm³

633 cm³

367 cm³

462 cm³

18.

A cone has a height of 30 in. and a diameter of 20 in. What is the approximate volume of the cone?

600 in³

1,885 in³

3,140 in³

12,566 in³

19.

Mike has a large plastic cup that he is going to fill with water. The plastic cup is in the shape of a cone as shown. Which is closest to the volume of Mike’s cup?

21 cubic inches

63 cubic inches

66 cubic inches

198 cubic inches

20.

A large sphere at an amusement park is 165 feet in diameter. Which of the following is closest to the volume, in cubic feet, of the sphere?

235,000.15

2,352,071.15

18,810,000.15

41,210,000.15

100 %

Surface Area/Volume Review

Total questions: 20

Worksheet time: 1hrs 3mins

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