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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 Page 2