Free Printable Plane Shapes

1.

Stephen has a rectangular bedroom with a perimeter of 34 feet. The length of the bedroom is 9 feet. What is the width of Stephen's bedroom?

a)

12 cm

b)

8 cm

c)

6 cm

d)

18 cm

2.

A professional football field is 120 yards long and 53 yards wide. How far will you run if you go all the way around it?

a)

346 square yards

b)

346 yards

c)

173 yards

d)

240 yards

3.

Calculate the area of the following shape.

a)

55 $m^2$

b)

52 $m^2$

c)

40 $m^2$

d)

27 $m^2$

4.

Find the area of the following shape.

Use 𝞹 = 3.14

a)

28.26 $cm^2$

b)

14.13 $cm^2$

c)

254.34 $cm^2$

d)

198 $cm^2$

5.

Find the area of the compound shape.

a)

400 $m^2$

b)

680 $m^2$

c)

414 $m^2$

d)

540 $m^2$

6.

Find the area of the compound shape.

a)

93 $ft^2$

b)

87 $ft^2$

c)

180 $ft^2$

d)

114 $ft^2$

7.

If the area of a triangle is 21 cm2 and its height is 7cm, What is the base of the triangle?

a)

5cm

b)

5.5cm

c)

6cm

d)

6.5cm

8.

Area of the above triangle

a)

$h\times a$

b)

$\frac{1}{2}h\times a$

c)

$\frac{\sqrt{3}a^2}{4}$

d)

$\frac{\sqrt{3}a^2}{h}$

9.

The area of a rhombus is 25cm² and diagonal q is 10cm. What is the length of the second diagonal p.

a)

p = 5

b)

p = 10

c)

p = 15

d)

p = 2.5

e)

p = 16

10.

A parallelogram has a height of 10m and a base of 13m. What is the area of the parallelogram.

a)

100

b)

23

c)

130

d)

200

e)

33

11.

Find missing side

a)

5

b)

7

c)

9

d)

11

12.

Triangle ABC and XYZ are similar. Use your knowledge of scale factor to find the length of X.

a)

20

b)

25

c)

100

d)

40

13.

Find the length of x

a)

x = 1

b)

x = 2

c)

x = 7

d)

x = 1/7

14.

What is the scale factor of these similar shapes?

a)

10

b)

7

c)

9

d)

11

15.

The pair of figures are similar. Find the missing side.

a)

x = 9

b)

x = 28

c)

x = 7

d)

x = 63

16.

Triangle ABC and XYZ are similar, ABC is the copy and XYZ is the original shape. What is the scale factor or multiplier used to make the the smaller one larger?

a)

2

b)

½

c)

⅖

d)

5/2

17.

Find the missing side of the large triangle, then, find the PERIMETER of the large triangle.

a)

the missing side is 12, the perimeter is 24

b)

the missing side is 12, the perimeter is 36

18.

What are the missing sides of the triangle?

a)

11 and 12

b)

13 and 11

c)

11 and 14

d)

13 and 12

19.

If the radii of the circular ends of a conical bucket which is 45cm high, are 28cm and 7cm, find the capacity(volume) of the bucket.

a)

38510 cu.cm

b)

48510 cu.cm

c)

62010 cu.cm

d)

28510 cu.cm

20.

A bucket of height 8cm and made up of copper sheet is in the form of a frustum with radii of its lower and upper ends as 3cm and 9cm respectively. Find volume of water which can be filled in the bucket.(in terms of pi)

a)

$212\pi$

b)

$112\pi$

c)

$312\pi$

d)

$412\pi$

21.

Find the volume of a conical frustum with a height of 24in and radii 15in and 10in respectively.

a)

35,796in³

b)

1,491.5in³

c)

11,932in³

d)

9,420in³

22.

Find the Volume of the Sphere

a)

904.32 ft³

b)

7,234.56 ft³

c)

150.72 ft³

23.

Find the volume of the figure.

a)

150.72 cm³

b)

75.36 cm³

c)

452.16 cm³

d)

151 cm³

24.

Find the volume to the nearest tenth using 3.14 instead of Pi.

a)

282.6 in³

b)

94.2 in³

c)

235.5 in³

d)

78.5 in³

25.

Find the volume to the nearest hundredth using 3.14 instead of Pi.

a)

5572.45 cm³

b)

506.59 cm³

c)

126.65 cm³

d)

1393.11 cm³

26.

Find the volume to the nearest hundredth using 3.14 instead of Pi.

a)

179.50 cm³

b)

205.15 cm³

c)

51.29 cm³

d)

1436.03 cm³

27.

Find the volume of the solid shown in the figure?

a)

7230

b)

6621

c)

1130

d)

907

28.

Find the volume of the hemisphere

a)

904.3 in³

b)

226.1in³

c)

113.0 in³

d)

452.2 in³

29.

Which cylinder will have a larger volume?

a)

Cylinder A

b)

Cylinder B

30.

a)

55 yd³

b)

121 yd³

c)

22 yd³

d)

330 yd³

31.

Find the volume of the figure. Round to the nearest tenth.

a)

80 cm³

b)

40 cm²

c)

80 cm²

d)

40 cm³

32.

Find the volume:

a)

960 cm³

b)

240 cm³

c)

960 cm ²

d)

1920 cm³

33.

A fish-tank has a length of 45 centimeters, a width of 25 centimeter and a depth of 10 centimeter. Find the volume of the fish-tank.

a)

10250 cm3

b)

11250 cm3

c)

11250 ft3

d)

10250 ft3

34.

Find the surface area

a)

60.4 m²

b)

188.4 m²

c)

94.2 m²

d)

881.9 m²

35.

Jack has a wardrobe with two compartments shaped like rectangular prisms. What is the volume of his wardrobe?

a)

144 cubic feet

b)

328 cubic feet

c)

168 cubic feet

d)

248 cubic feet

36.

The figure shown below is composed of a rectangular prism and two half cylinders. Which is closest to the volume of the figure?

a)

1384 cm³

b)

706 cm³

c)

631 cm³

d)

882 cm³

37.

Find angle x and length y.

a)

$x\ =\ 22\degree$

$y=10\ cm$

b)

$x=22\degree$

$y=12\ cm$

c)

$x=32\degree$

$y=12\ cm$

d)

$x=32\degree$

$y=10\ cm$

38.

Solve for c

a)

7

b)

9

c)

13

39.

Find the volume of a right circular cylinder if r = 7 cm and h = 14 cm.

a)

1112 cu cm

b)

512 cu cm

c)

1078 cu cm

d)

2156 cu cm

40.

Volume of a cube is 125 cu cm. Find its total surface area.

a)

150 sq cm

b)

25 sq cm

c)

150 sq cm

d)

100 sq cm

41.

Calculate the volume.

a)

90 cm³

b)

150 cm³

c)

180 cm³

42.

Find the volume of the cone. Round your answers to the nearest tenth.

a)

127.3 yd³

b)

347.6 yd³

c)

287.7 yd³

d)

147.7 yd³

43.

Find the volume of this shape

a)

1520.53

b)

276.46

c)

552.93

d)

6082.12

44.

Find the volume of the 3Dimensional shape

a)

904.32 ft³

b)

7,234.56 ft³

c)

150.72 ft³

45.

Find the volume.

a)

13680 m³

b)

684 m³

c)

1140 m³

d)

228 m³

46.

Find the Surface Area

a)

556 cm²

b)

278 cm²

c)

680 cm²

d)

340 cm²

47.

Calculate the surface area.

a)

56.5 in²

b)

91.5 in²

c)

169.56 in²

d)

28.3 in²

48.

The diagram shown the end wall of a wooden garden shed.The other end of the shed is identical. The sides are made up of two rectangles of length 3 m.

Find the total area of the walls of the shed.

a)

$17\ m^2$

b)

$19\ m^2$

c)

$20\ cm^2$

d)

$21\ m^2$

49.

Four rods are joined together to form a parallelogram.

What is the maximum possible area of the parallelogram?

a)

$104\ cm^2$

b)

$110\ m^2$

c)

$120\ cm^2$

d)

$108\ cm^2$

50.

If the sides of 2 similar triangles have a similarity ratio of $\frac{3}{2}$ what is the ratio of their areas?

a)

$\frac{9}{4}$

b)

$\frac{3}{2}$

c)

$\frac{1}{3}$

d)

$\frac{3}{1}$

Plane Shapes

Total questions: 50

Worksheet time: 4hrs 37mins

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