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Unit 9 Surface Area and Volume

Total questions: 30

Worksheet time: 2hrs 30mins

Name
Class
Date
1.

William is drawing pictures of cross sections of the right circular cone as shown.

Which drawing cannot be a cross section of a cone?

a)
b)
c)
d)
2.

If the rectangle below is continuously rotated about side "w" as its axis, which solid figure is formed?

a)

pyramid

b)

rectangular prism

c)

cone

d)

cylinder

3.
What does the "B" in the volume formula V = B x h stand for?
a)
Bottom of the object
b)

Base

c)

Between the Bases

d)

Area of the Base

4.
For what solid is this volume used.
a)
Pyramids
b)
Spheres
c)
Prisms
d)
Cylinders
5.
Identify this shape.
a)
Triangular Prism
b)
Rectangular Prism
c)
Cube
d)
Triangular Pyramid
6.
Identify this shape.
a)
cone
b)
triangular pyramid
c)
rectangular prism
d)
rectangular pyramid
7.
Find the volume of the figure.
a)
126 cm3
b)
907.5 cm3
c)
605 cm3
d)
55 cm3
8.
Find the volume of the figure. Round to the nearest whole number.
a)
317 units³
b)
635 units³
c)
1,904 units³
d)
890 units³
9.

A rectangular prism has a surface area of 1020 square inches, a length of 6 inches, and a width of 9 inches. Find the height. round to the nearest tenth.

(a)  

10.
What 3D solid does this net create?
a)
Rectangular Prism
b)
Rectangular Pyramid
c)
Cube
d)
Square Prism
11.
What 3D solid does this net create?
a)
Triangular Pyramid
b)
Triangular Prism
c)
Square Pyramid
d)
Square Prism
12.
a)
Cylinder
b)
Cube 
c)
Triangular Prism 
d)
Cone 
13.
What is the volume of the composite solid?
a)
301.6 cm3
b)
502.7 cm3
c)
268.1 cm3
d)
167.6 cm3
14.

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

a)

268

b)

196

c)

134

d)

25

15.

Calculate the volume

a)

452.4 in3

b)

226.2 in3

c)

150.8 in3

d)

301.6 in3

16.
What is the volume of this composite figure? Use the pi button on your calculator and round the answer to the nearest tenth.
a)
4825.5 ft3
b)
1206.4 ft3
c)

3026.1 ft3

d)

1835.2 ft3

17.
What 3D solid does this net create?
a)
Cube
b)
Cone
c)
Cylinder
d)
Triangular Pyramid
18.

How many vertices does the cube have?

a)

1 vertice

b)

8 vertices

c)

12 vertices

d)

6 vertices

19.

The end-points of the diagonal of a square are (1,-3,2) and (0,1,3) ,then the length of the diagonal is

a)

(A).    13 \sqrt{13}\  units

b)

(B).     18\sqrt{18}  units

c)

(C).    4 units

d)

(D).    3 units

20.

The end-points of a diameter of a sphere are (2,-1,4) and (0,5,-4), then the centre of the sphere is

a)

(A). (0,0,0)

b)

(B). (1,-3,4)

c)

(C). (1,2,0)

d)

(D). (0,1,2)

21.

What is the surface area of this figure?

a)

200 in 2

b)

800 in 2

c)

400 in 2

d)

100 in 2

22.

What is the surface area?

a)

6658.56 mm2

b)

452.16 mm2

c)

904.32 mm2

d)

108.8 mm2

23.

Find the lateral surface area of the figure shown.

a)

672 cm2

b)

480 cm2

c)

576 cm2

d)

864 cm2

24.

Find the lateral surface area.

Don't forget to divide the diameter by 2 to get the radius.

a)

100.53 square inches

b)

351.86 square inches

c)

251.33 square inches

d)

50.27 square inches

25.
What is surface area?
a)
The amount of stuff that can fit in an object.
b)
A 2D shape.
c)
A 3D shape.
d)
The sum of the areas of all the surfaces (faces) of a 3D shape.
26.

Given a cone with the height of 10cm and the base radius of 9cm. Find the volume of this cone if multiplied by Pi?

a)

90 cm3

b)

2544.7 cm3

c)

907.5 cm3

d)

848.2 cm3

27.
Find the volume of the sphere.  Use 3.14 for pi.
a)
78.5 m3
b)
392.5 m3
c)
523.3 m3
d)
62.8 cm3
28.
Which units are NOT used for volume?
a)
cm3
b)
cubic meters
c)
mm3
d)
km2
29.
Find the surface area.
a)
12 m2
b)
16 m2
c)
24 m2
d)
20 m2
30.
What is surface area?  Round to the nearest hundredth
a)
1339.73
b)
1003.36
c)
320.78
d)
742.04