Math 10
Geometry Unit
NAME:__________________
Part A: Perimeter and Area
1. Find the perimeter and area of each shape:
(a)
(b)
(c)
(d)
(e)
(f)
(g)
(h)
2.9 cm
25 mm
14 in
14 in
25 mm
1.44 cm
1.30 cm
25 mm
4.34 cm
10 in
2. What is the area of the shaded region?
ANSWERS:
1. (a) 24 cm, 23 cm2
(d) 18.84 cm, 28.26 cm2
(g) 75 mm, 270.6 mm2
(b) 32 m, 23 m2
(e) 13.8 cm, 7.5 cm2
(h) 10.19 cm, 4.71 cm2
(c) 43.96 cm, 153.86 cm2
(f) 38 in, 65.4 in2
2. 22.88 in2
1.51 cm
Part B: Area of Polygons
Find the area of each figure. All hexagons are regular (their sides are the same length).
1)
3)
2)
4)
6)
5)
7)
8)
Answers:
1) 173.2 mm2
2) 336 ft2
3) 53.2 in2
4) 162 in2
5) 161 m2
6) 354 ft2
7) 2325 m2
8) 39 in2
Part C: Surface Area
Answers:
Part D: Volume
Answers:
Part E: Surface Area and Volume Word Problems
1. A classroom has the dimensions shown.
Find:
(a) the area of the floor
(b) the volume of the room
(c) the total area of the four walls.
2. If 1 cm3 of iron has a mass of 7.52 g, what is the mass of an iron bar of rectangular cross section with
the dimensions shown?
3. If one guppy requires 5 L of water to live happily, what is the
maximum number of guppies that should be kept in this
aquarium?
4. The excavation for a house and the trucks to carry away the
material have the dimensions shown. About how many level truck
loads are necessary to remove all the dirt?
5. A soft drink can has a diameter of 6 cm and a height of 11.5 cm.
(a) What is its volume?
(b) What is its surface area?
6. A lawn roller is 1 m wide and 80 cm high. What area is covered in each
revolution?
7. A section of concrete pipe 30 m long has an inside diameter of
1.2 m and an outside diameter of 1.8 m. What is the volume of
concrete in this section of pipe?
Answers:
1. (a) 93.73 m2
4. 22
(b) 299.94 m2
5. (a) 324.99 cm3
(c) 124.16 m2
(b) 273.18 cm2
2. 4909.06 g
6. 251.2 m2
3. 7
7. 42.39 m3