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Extra Practice BLM 5.3
5.3 Solve Volume and Surface Area Problems
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CopyrightÓ 2003 McGraw-Hill Ryerson Limited Chapter 4
Name ______Date ______
If needed, round all answers to the nearest hundredth.
1. Find the missing dimensions.
a) Find the height if each side of the square base is 6 m and the surface area is 132 m2.
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b) Find the height if the volume is 15cm3.
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c) Find the diameter if the volume is 524 m3.
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d) Find the height if the surface area is 75.4 cm2.
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2. A catering company uses a square based tent for its parties. Each side of the base measures 3 m and each wall is 2 m high. The centre of the tent is 3.5 m from the ground.
a) Find the volume of the tent.
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b) If the catering company wishes to have another tent made, how much canvas will it need to buy?
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c) If canvas costs $12.75/m2, how much will the material cost? Allow for 10% error and waste.
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3. A pet store recommends each guppy has 5 L of water in a fish tank in order to prevent the tank from becoming overcrowded.
a) How many guppies could someone put in this aquarium?
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b) Give the dimensions of a tank that could hold 25 guppies.
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4. Joanne built a sand castle that has a conical shape. It measures 55 cm high and the base has a 62.9-cm circumference.
a) Find the diameter of the base.
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b) How much sand was used?
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c) Joanne wants to decorate her castle with seashells going down the sides of the castle. What is the length of the side of the castle?
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d) How many mussel shells will fit down the side of the castle if each mussel shell has a length of 8 cm?
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5. A can of tomato paste is 12 cm high and has a volume of 972 cm3. What is the area of the label around the can?
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6. A cylindrical tub of ice cream measures 20 cm in diameter and is 25 cm high.
a) How much ice cream is in the tub?
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b) Steven is selling ice cream cones for a fundraiser. Determine how much ice cream is used to completely fill one one cone like the one shown.
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c) If he sells each ice cream cone for $2.50, how many tubs of ice cream would he need in order to sell $1000 worth of ice cream cones?
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CopyrightÓ 2006 McGraw-Hill Ryerson Limited, a subsidiary of the McGraw-Hill Companies.
This page may be reproduced for classroom use by the purchaser of this book without the written permission of the publisher.
Name ______Date ______
CopyrightÓ 2003 McGraw-Hill Ryerson Limited Chapter 4