Download Name of Lecturer: Mr. J.Agius Course: HVAC1

Name of Lecturer: Mr. J.Agius
Course: HVAC1
Lesson 59
Chapter 12. Surface Area & Volume
Cuboids, Rectangular Prisms and Cubes
Exercise 1
1)
Calculate the volume of the following cuboids:
a)
length 9 cm, width 6 cm and height 4 cm.
b)
length 1.4 cm, width 9 mm and height 3.2 cm.
c)
length 30 cm, width 22 mm and height 22 cm.
2)
The base of a cuboid has an area of 12cm2. The volume of the cuboid is 40cm3. What
is the height of the cuboid?
3)
Calculate the volume of a cube of side:
a)
8cm
4)
Enrico designs and makes statuary and garden ornaments. A plinth for a statue of
Hermes is to be cuboid in shape and measure 56cm  60cm  66cm.
What volume of artificial stone mixture will be required for the plinth?
5)
A stage set requires a collapsible wall to be made out of polystyrene blocks. Each
block measures 42cm  28cm  10.5cm and there are 80 blocks in the wall.
What volume of polystyrene is needed to make the wall?
6)
a) Janine makes and decorates cakes for special occasions. Her largest tin is 40cm
square with height of 9cm. What volume of fruit cake would fill the tin?
b)
11cm
c)
4.1cm
b) The next two sizes of cake tin are 32cm square by 7cm high and 24cm square by
6cm high. What volume of cake is there in a wedding cake using all three cake tins?
8)
A child at a day nursery has 27 wooden blocks, each cube of edge 1 inch. She builds
one large cube using all the blocks.
a)
What is the volume of the large cube?
b)
What is the length of an edge of the large cube?
9)
Boxes of toilet rolls are ordered in bulk by the Sundowners Rest Home. Each box
measures 46cm  23cm  24cm.
How much storage space would be taken up by one dozen boxes?
12. Surface Area & Volume
Page 1
Name of Lecturer: Mr. J.Agius
Course: HVAC1
10)
A hotel in the tropic regularly sprays its rooms to kill mosquitoes. Half fluid ounces of
anti-mosquito liquid when diluted sprays a volume of 15 m3.
How many fluid ounces of liquid are required to spray a room 7m by 5.5m by 3m?
11)
A scout’s tent has the shape of a triangular prism. It is 2.6 m long and the triangular
end is 2.5 m wide and 1.9 m high. Find the volume inside the tent.
12)
The uniform cross-section of a water trough is a trapezium 80 cm wide at the top,
with a 58 cm wide base; the trough is 45 cm deep and 1.2 m long. Find the capacity of
the trough.
13)
Calculate the volume of this wedge, which is a triangular prism.
3cm
7cm
8cm
14)
A closed box is a cuboid made of wood 1cm thick. Its external measurements are
80cm by 50cm by 42cm.
Calculate:
a)
b)
c)
15)
The internal measurements of the box
The inside volume of the box
The total surface area of the outside of the box.
The diagram shows a tank, which is a prism with a trapezium cross-section.
Calculate the volume of the tank.
2.5m
1.2m
1m
2m
12. Surface Area & Volume
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