Unit 13: Measurement: Length, Area and Volume
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1 Unit 13: Measurement: Length, Area and Volume Section A: Circumference This section is designed to help you to both improve your skills and to increase your speed in measuring the circumference of a round object. C = d where: C = circumference = 3.14 d = diameter EXAMPLE Find the circumference of a plate with a diameter of 30 cm. C 5 3 d Therefore, C cm Find the circumference of a saucepan with a diameter of 20 cm. Find the circumference of a mixing bowl with a diameter of 18 cm cm Calculate the circumference of a plastic lid with a diameter of 12 cm cm QUESTION 6 Find the circumference of a saucepan with a diameter of 38.8 cm cm cm Calculate the circumference of a soup tureen with a diameter of 15 cm cm Determine the circumference of a frying pan with a diameter of 32 cm cm Unit 13: Measurement: Length, Area and Volume 35
2 QUESTION 7 Determine the circumference of a container with a diameter of 15.6 cm cm Calculate the circumference of a wine barrel with a diameter of 14.3 cm cm Find the circumference of a cake board with a diameter of 12.9 cm cm 0 Determine the circumference of a main-course plate with a diameter of 18.8 cm cm Section B: Diameter This section is designed to help you to both improve your skills and to increase your speed in measuring the diameter of a round object. Diameter (d) of a circle = circumference (3.14) EXAMPLE Find the diameter of a cooking pot with a circumference of 80 cm. d cm Find the diameter of a service platter with a circumference of 90 cm cm Determine the diameter of a saucepan with a circumference of 16 cm cm Find the diameter of a dessert plate with a circumference of 20 cm cm Calculate the diameter of a stock pot with a circumference of 60 cm cm Determine the diameter of a circular revolving service counter with a circumference of 430 cm cm QUESTION 6 Find the diameter of a frying pan with a circumference of 81.8 cm cm 36 Maths & English for Hospitality and Catering
3 QUESTION 7 Calculate the diameter of a glass bowl with a circumference of 22.4 cm cm Determine the diameter of a round table with a circumference of cm cm Find the diameter of a pasta dish with a circumference of 62.3 cm cm 0 Determine the diameter of a gateau with a circumference of 68.8 cm cm Section C: Area This section is designed to help you to both improve your skills and to increase your speed in measuring surface area. Area = length breadth and is given in square units. = l b The dimensions of a kitchen are 30 m by 12.8 m. What is the total area of the kitchen? 384 m 2 A canteen measures 20 m by 13 m. What is the total area? 260 m 2 The area of a walk-in refrigerator area is 2.85 m by 1.65 m. What is the total area? 4.7 m 2 If a bistro kitchen area is 4.5 m by 1.8 m, what is the total area? 8.1 m 2 What is the total area of a dining room that measures 13 m by 9 m? 117 m 2 Unit 13: Measurement: Length, Area and Volume 37
4 QUESTION 6 A function centre measures 35 m by 30 m. What is the total area? 1050 m 2 QUESTION 7 The storage area of a delivery lorry is 2.06 m by 2.07 m, what is the total area? 4.26 m 2 A washing up area is 3.2 m by 1.6 m. What is the total area? 5.12 m 2 0 A trailer that transports food is 8.9 m long and 2.6 m wide. How much floor area can it accommodate? m 2 A cold room is 6.53 m by 3.27 m. What is the floor area? m 2 Section D: Volume of a cube This section is designed to help you to both improve your skills and to increase your speed in calculating volumes of rectangular or square objects. Volume = length width height and is given in cubic units. = l w h How many cubic metres are there in a storage area 13 m long, 5 m wide and 4 m high? 260 m 3 A grocery delivery vehicle has the dimensions of 8 m length, 3 m width and 4 m height. How many cubic metres are available? 96 m 3 A cold room is 8 m long by 3 m wide by 2 m high, how many cubic metres are there? 48 m 3 A steaming tray measures 22 cm 3 18 cm 3 5 cm. How many cubic centimetres can it hold? 1980 cm 3 An apprentice uses a roasting tray with the following dimensions: 600 mm mm mm. How many cubic millimetres have been made? mm 3 38 Maths & English for Hospitality and Catering
5 QUESTION 6 If a freezer unit in a kitchen measures 1.2 m m m, what cubic area in metres is available to use for storing frozen goods? m 3 QUESTION 7 A box is 1 m long, 60 cm wide and 75 cm tall. How many cubic centimetres are available for storing cans of fruit? CHERRY JUICE cm 3 The chilled storage area of an ice-cream delivery vehicle is 1.4 m m cm. What is the cubic area? cm 3 or m 3 CHERRY JUICE CHERRY JUICE A freezer van has the following dimensions: 2.75 m high, 2.35 m wide and 3.6 m long. What is its total volume in cubic metres? A kitchen has a larder that is 3.8 m m m. How many cubic metres are there? m m 3 Section E: Volume of a cylinder This section is designed to help you to both improve your skills and to increase your speed in calculating the volumes of cylinder-shaped objects. Calculate your answers in both cm 3 and m 3 to 3 decimal places. Volume of a cylinder (V c ) = (3.14) r 2 (radius radius) height V c = r 2 h What is the volume of a vegetable-oil drum that has a radius of 45 cm and a height of 140 cm? cm 3 or m 3 What is the volume of a can of chocolate spray that has a radius of 3 cm and a height of 20 cm? cm 3 or 0.565m 3 A canister used for sugar has a radius of 4 cm and a height of 11 cm. What volume can it hold? cm 3 or 0.553m 3 Unit 13: Measurement: Length, Area and Volume 39
6 A coffee container has a radius of 12.5 cm and a height of 28 cm. How much coffee can it hold? cm 3 or m 3 An oil drum can has a radius of 15 cm and a height of 26 cm. What is its volume? cm 3 or m 3 QUESTION 6 A gas bottle used for a BBQ has a radius of 17 cm and a height of 30 cm. How much gas can it hold? cm 3 or m 3 A can of tomato purée has a radius of 11 cm and a height of 22 cm. a What is its volume? cm 3 or 8.359m 3 b If you use half, how much is left? cm 3 or 4.179m 3 0 A chef uses a can of fish oil that has a radius of 6 cm and a height of 18 cm. What is its volume? or 2.035m 3 QUESTION 7 A container of vegetable oil gets poured into three containers. Each container has a radius of 8 cm and a height of 40 cm. a What is the volume of each container? cm 3 or 8.038m 3 b What is the volume of all three containers in total? cm 3 or m 3 A container used for ice cream has a radius of 10.5 cm and a height of 15 cm. a What is its volume? cm 3 or 5.193m 3 b If you use half on one dinner session, how much is left? cm 3 or 2.596m 3 40 Maths & English for Hospitality and Catering
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