Free Printable Measurement(Area and Volume)

Free Printable Worksheets

Worksheets

Measurement(Area and Volume)

Total questions: 74

Worksheet time: 2hrs 28mins

Name

Class

Date

1.

What is the formula for volume of a cylinder?

a)

V = 2πrh

b)

V = 1/3Bh

c)

V = Bh

d)

V = πr²

2.

What is the formula for volume of a cone?

a)

V = 2πrh

b)

V = 1/3Bh

c)

V = Bh

d)

V = πr²

3.

What is the formula for volume of a sphere?

a)

V = 4/3πr³

b)

V = 1/3Bh

c)

V = Bh

d)

V = πr²

4.

What is the name of this figure?

a)

Cone

b)

Prism

c)

Cylinder

d)

Sphere

5.

What is the name of this figure?

a)

Cone

b)

Rectangular Prism

c)

Cylinder

d)

Cube

6.

What is the name of this figure?

a)

Cone

b)

Rectangular Prism

c)

Cylinder

d)

Cube

7.

What is the name of this figure?

a)

Cone

b)

Rectangular Prism

c)

Cylinder

d)

Cube

8.

What is the name of this figure?

a)

Cone

b)

Rectangular Prism

c)

Cylinder

d)

Cube

9.

What is the name of this figure?

a)

Cone

b)

Rectangular Prism

c)

Triangular Prism

d)

Cube

10.

The formula 2πrh + 2πr² measures what?

a)

Lateral Surface Area of a Cylinder

b)

Total Surface Area of a Cylinder

c)

Volume of a Cylinder

d)

Area of a Circle

11.

In the formula V = Bh, what does "B" stand for?

a)

Perimeter of the Base

b)

Area of the Base

c)

Base

d)

Baseball

12.

In the formula Ph + 2B, what does "P" stand for?

a)

percent of the base

b)

probability of the base

c)

proportion of the base

d)

perimeter of the base

13.

Lateral surface area finds the...

a)

areas of the bases and sides

b)

area of the vertices

c)

area of the sides

d)

area of the bases

14.

If you were going to calculate the volume of this shape, what do you substitute for "B"?

a)

1/2⋅b⋅h

b)

πr²

c)

b⋅h

d)

Base

15.

If you were going to calculate the total surface area of this shape, what do you substitute for "B"?

a)

1/2⋅b⋅h

b)

πr²

c)

b⋅h

d)

Base

16.

If you were going to calculate the total surface area of this shape, what do you substitute for "B"?

a)

1/2⋅b⋅h

b)

πr²

c)

b⋅h

d)

Base

17.

If you were going to calculate the volume of this shape, what do you substitute for "B"?

a)

1/2⋅b⋅h

b)

b⋅h

c)

πr²

d)

Base

18.

How do you find the lateral surface area of a cylinder?

a)

Ph

b)

Bh

c)

Ph + 2B

d)

2πrh

19.

Find the area of the parallelogram

a)

430 in²

b)

215 in²

c)

41.5 in²

d)

1.5 in²

20.

Find the area of this triangle.

a)

19.8 km²

b)

37.8 km²

c)

18.9 km²

d)

35 km²

21.

What is the volumeof the cube?

a)

72 cubic inches

b)

27 cubic inches

c)

1.5 cubic inches

d)

272 cubic inches

22.

A parallelogram has a base of 35 cm and its area is 700 cm². What is its height?

a)

20 cm

b)

24,500 cm

c)

0.05 cm

d)

2 cm

23.

What is the area of this shape?

a)

108 sq cm

b)

60 sq cm

c)

432 sq cm

d)

216 sq cm

24.

How do you find the AREA of a TRIANGLE?

a)

Length x Width

b)

1/2 (base x height)

c)

1/3 (base x height)

d)

Base x Height

25.

Find the volume of the figure

a)

1100 in³

b)

1600 in³

c)

1200 in³

d)

1500 in³

26.

A prism is 12 cm tall. The area of the base is 7 cm. What is the volume?

a)

19 cm³

b)

84 cm³

c)

1,008 cm ³

d)

24 cm³

27.

How many Faces, Edges and Verticies?

a)

Faces = 18
Verticies = 12
Edges = 8

b)

Faces = 8
Verticies =12
Edges = 18

c)

Faces = 12
Verticies = 8
Edges = 20

d)

Faces = 12
Verticies = 12
Edges =12

28.

What 3D solid does this net create?

a)

Triangular Pyramid

b)

Triangular Prism

c)

Square Pyramid

d)

Square Prism

29.

Which measurement best represents surface area?

a)

The amount of soda that fits into a can

b)

The amount of wrapping paper that is needed to wrap a present

30.

Find the surface area of this figure.

a)

148 cm²

b)

120 cm²

31.

Which measurement best represents volume?

a)

The amount of soda that fits into a can

b)

The amount of wrapping paper that is needed to wrap a present

32.

What is the surface area of a cube with side length 9 cm?
Hint: Draw a net

a)

54 cm²

b)

81 cm²

c)

294 cm²

d)

486 cm²

33.

Marla has a garden with a length of 5 feet and a width of 3 feet. What is the area and perimeter of her garden?

a)

A = 8 square feet
P = 16 feet

b)

A = 15 square feet
P = 8 feet

c)

A= 15 square feet
P = 16 feet

d)

A = 16 square feet
P = 15 feet

34.

What does area mean?

a)

the distance around a shape

b)

half the distance around a shape

c)

the amount of space outside a shape

d)

the amount of space inside a shape

35.

The distance around an object is called the

a)

area

b)

perimeter

c)

volume

36.

Farmer John walks his pet pig around his barn every day. The barn is 25 meters by 12 meters. If we walks the pig around the barn three times, how many meters did farmer John and his pig walk?

a)

300 meters

b)

222 meters

c)

74 meters

d)

37 meters

37.

If the area of a basketball court in 117 square feet and the width is 9 feet, what is the length?

a)

13 feet

b)

13 square feet

c)

12 feet

d)

12 square feet

38.

A juice box measures 4 cm long, 10 cm high, and 5 cm wide. What is the volume of the juice box?

a)

200 cm³

b)

40 cm³

c)

50 cm³

d)

19 cm³

39.

Which cylinder will have a larger volume?

a)

Cylinder A

b)

Cylinder B

40.

The formula for the Volume of ...

a)

Spheres

b)

Cones

c)

Cylinders

41.

What is the volume of a sphere with the radius of 4 inches ? Use 3.14 for pi.

a)

561.5 in³

b)

267.9 in³

c)

201 in³

d)

803.8 in³

42.

What shape is this?

a)

Cylinder

b)

Cone

c)

Sphere

43.

Find the volume of this sphere.

a)

113 m³

b)

10.6 m³

c)

9.4 m³

d)

14.1 m³

44.

Find the volume of a HEMIsphere with a radius of 4.

a)

85.3π

b)

62.67π

c)

42.67π

d)

8π

45.

A circular swimming pool is 21 feet in diameter.
How many feet around is the pool?

a)

10.5 ft

b)

42 ft

c)

65.94 ft

d)

131.95 ft

46.

Soda is sold in aluminum cans that measure
4.83 inches in height and 2.6 inches in diameter. What is the volume?

a)

25.63 in ³

b)

26 in ³

c)

19.73 in ³

d)

95.28 in 3

47.

Number of Faces?

a)

7

b)

5

c)

4

d)

15

48.

What does perimeter mean?

a)

The amount of space inside a shape

b)

The distance around a shape

c)

The amount of space inside a shape divided by two

d)

Half the distance around a shape

49.

Sara's garden has a PERIMETER of 28 feet. The LENGTH of the garden is 12 feet. What is the WIDTH of Sara's garden?

a)

4 feet

b)

2 feet

c)

24 feet

d)

not here

50.

What is the area of the right triangle?

a)

32 units²

b)

20 units²

c)

10 units²

d)

17 units²

51.

Find the surface area

a)

60.4 m²

b)

188.49 m²

c)

94.24 m²

d)

881.94 m²

52.

Find the surface area of the sphere.

a)

310.2 cm²

b)

379.2 cm²

c)

221.6 m²

d)

456 cm²

53.

Find the surface area of the cone. Round your answers to the nearest tenth, if necessary.

a)

233.2 cm²

b)

259 cm²

c)

93.2 cm²

d)

240 cm²

54.

Identify the cross section(2D shape you see when the green plane slices it)

a)

square

b)

triangle

c)

circle

d)

trapezoid

55.

Identify the cross section(2d shape you see when the gray plane slices it)

a)

square

b)

triangle

c)

rectangle

d)

hexagon

56.

Identify the cross section(2d shape you see when the green plane slices it)

a)

square

b)

triangle

c)

trapezoid

d)

circle

57.

Identify the cross section (2d shape you see when the gray plane slices it)

a)

triangle

b)

circle

c)

oval

d)

square

58.

Identify the cross section (2d shape you see when the gray plane slices it)

a)

triangle

b)

square

c)

rectangle

d)

circle

59.

Which best describes the cross-section?

a)

square

b)

triangle

c)

parallelogram

d)

hexagon

60.

Identify the cross section formed in the picture.

a)

square

b)

rectangle

c)

parallelogram

d)

pentagon

61.

What shape will the horizontal cross-section of a sphere be?

a)

Dome

b)

Circle

c)

Ellipse

d)

Rectangle

62.

What shape does this cross section make?

a)

Rectangle

b)

Circle

c)

Triangle

d)

Square

63.

_{^{What is the name of this shape?}}

a)

cube

b)

hexagonal prism

c)

pyramid

d)

cylinder

64.

Carla has a block that is a triangular prism. How many vertices does a triangular prism have?

a)

5 vertices

b)

9 vertices

c)

6 vertices

d)

7 vertices

65.

How many faces?

a)

2

b)

4

c)

6

d)

8

66.

Describe the cross section.

a)

trapezoid

b)

triangle

c)

rectangle

d)

square

67.

I have 2 faces that are triangles and 3 faces that are rectangles

a)

Triangular Pyramid

b)

Rectangular Pyramid

c)

Triangular Prism

d)

Rectangular Prism

68.

a)

Triangular Prism

b)

Triangular Pyramid

c)

Rectangular Prism

d)

Rectangular Pyramid

69.

Work out the shaded area.

a)

$97.5cm^2$

b)

$75cm^2$

c)

$22.5cm^2$

70.

The rectangle has length 20cm and width 11cm.

The circle has diameter 8cm.

Work out the shaded area.

Give your answer correct to 2 decimal places.

a)

$169.73cm^2$

b)

$169.7cm^2$

c)

$169.73m^2$

71.

2. The figure shows a circle inside a triangle. Which equation could be used to find the area of the shaded region?

a)

A = ½bh - 2πr

b)

A = πr² - ½bh

c)

A = ½bh - πd

d)

A = ½bh - πr²

72.

6. The figure shows 2 circles inside a trapezoid.
Which procedure should be used to find the area of the shaded region?

a)

Subtract the perimeter of the trapezoid from the area of both circles.

b)

Subtract the circumference of both circles from the area of the trapezoid.

c)

Subtract the area of the trapezoid from the area of both circles.

d)

Subtract the area of both circles from the area of the trapezoid.

73.

What is the area of the composite figure? (use 3.14 for pi)

a)

14 cm²

b)

6.28 cm²

c)

12.56 cm²

d)

20.28 cm²

74.

If you double the height of a cylinder, what happens to the volume?

a)

It is 9 times larger.

b)

It doubles

c)

It is 4 times larger.

d)

It triples.

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