Prepare for the BC Math 10 Provincial Exam by working through this Surface Area and Volume practice test. This course is also known as BC Math Foundations and Pre-Calculus 10

1. www.provincialexam.ca | BC Math 10 Provincial Exam Practice Questions
Surface Area and Volume Practice Test Name: ______________________ Period: _____
1) Which of the following calculations will determine the surface area of a
cone with a height of 12 m and a diameter of 10 m?
A. 2
(5) (5)(12)SA
B. 2
(10) (10)(12)SA
C. 2
(5) (5)(13)SA
D. 2
(10) (10)(13)SA
E. None of these
Answer: C
2) What is the area of the shaded part of the ramp below? Expand and simplify.
Answer: 52 26x
3) What is the volume of the smallest box that will hold a ball with a
circumference of 30 cm?
Answer: 870.8 cm3
or
3
30
4) Volume of cone?
Answer: 314.2 m3
or 100

2. 5) The area of the bottom of a square-based pyramid is 400 cm2
(area of
bottom part only – see diagram below). What is the pyramid’s volume?
Answer: 3200 cm3
6) The volume of a cube is 27 m3
. What is the lateral area of this cube?
Answer: 36 m2
7) The area of a cylinder is 600 cm2
(including the top and bottom).
The height is double the radius. Sovle the cylinder’s height.
Answer: 11.28 cm
8) What is the lateral area of this cylinder? Expand and simplify.
Answer: 2
12 2 2x x

3. 9) What is the surface area of this cone?
Answer: 164.0 cm2
10) What is the volume of this object?
Answer: 591.4
11) A cube has a volume of 64 cm3
. Find the longest possible distance
between two corners in this cube.
Answer: 4 3 or 6.93

4. 12) Area of shaded region (expand and simplify)?
Answer: 2 2
32 8x x
13) A cylinder with a diameter of 50 cm is about half full of water.
A sphere with a diameter of 10 cm is fully submerged into the water.
How far will the water level rise?
Answer: 0.27 cm
14) Volume of “C” is 120 m3
. Find x .
Answer: 1.5 m
15) The rocket below opens up to be the net diagram below.
What is the value of x y accurate to two decimals?
Answer: 5 6 or 23.85