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LO To assess my understanding of Surface Area and Volume Key Words: Reflect, Communicate, Explain, Justify RAG 21/07/2015 Starter Activity Complete the ‘Heard the Word Grid.’ Are there any key words that you have learnt or have a better understanding of now than you did at the start of this unit of work? Key Words / Methods Face Surface Area Volume Cross Section Prism Formula Dimension Never heard before? Heard of but not sure what it means? Know what it means and can explain it in context Jot down your ideas here... Surface Area and Volume Grade E I know the formula for the volume of a cuboid. D I can solve problems involving the volume and surface area of cuboids. C B A/A* I can calculate the volume and surface area of prisms and cylinders. I can calculate the volume of pyramids, cones & spheres. I can solve problems using area and volume scale factors. Grade E Here is a box in the shape of a cuboid. Work out the volume of the box. Grade D Work out the surface area of the box. Grade D Marc drives a truck. The truck pulls a container. The container is a cuboid 10 m by 4 m by 5 m. Marc fills the container with boxes. Each box is a cuboid 50 cm by 40 cm by 20 cm. Show that Marc can put no more than 5000 boxes into the container. Grade D Jane has a carton of orange juice. The carton is in the shape of a cuboid. The depth of the orange juice in the carton is 8 cm. Jane closes the carton. Then she turns the carton over so that it stands on the shaded face. Work out the depth, in cm, of the orange juice now. Diagram NOT accurately drawn Grade C Question Diagram NOT accurately drawn. The diagram shows an L-shaped prism. Calculate the volume of the prism. Answers and Working Out Grade C Question Work out the total volume of this triangular prism. Work out the total surface area of this triangular prism. Answers and Working Out Grade C Question Ella is designing a glass in the shape of a cylinder. The glass must hold a minimum of ½ litre of liquid. The glass must have a diameter of 8 cm. Calculate the minimum height of the glass. Answers and Working Out Grade B Question Jane has some containers in the shape of hemispheres with diameter 35 cm. Jane is going to fill the containers completely with compost. She has 80 litres of compost. 1 litre = 1000 cm3. Work out how many containers Jane can fill completely with compost. Answers and Working Out Grade B Question The diagram shows a pyramid. BCDE is a square with sides of length 10 cm. The other faces of the pyramid are equilateral triangles with sides of length 10 cm. Calculate the volume of the pyramid. Give your answer correct to 3 significant figures. Answers and Working Out Grade B Question The diagram shows a solid made from a hemisphere and a cone. Diagram NOT accurately drawn The radius of the hemisphere is 4 cm. The radius of the base of the cone is 4 cm. Calculate the volume of the solid. Give your answer correct to 3 significant figures. Answers and Working Out Grade A Question P and Q are two triangular prisms that are mathematically similar. Prism P has triangle ABC as its cross section. Prism Q has triangle DEF as its cross section. AC = 6 cm DF = 12 cm The area of the cross section of prism P is 10 cm2. The length of prism P is 15 cm. Work out the volume of prism Q. Grade A Question Ali has two solid cones made from the same type of metal. The two solid cones are mathematically similar. The base of cone A is a circle with diameter 80 cm. The base of cone B is a circle with diameter 160 cm. Ali uses 80 ml of paint to paint cone A. Ali is going to paint cone B. Work out how much paint, in ml, he will need. The volume of cone A is 171 700 cm3. Work out the volume of cone B. Grade A Question The diagram shows two similar solids, A and B. Solid A has a volume of 80 cm3. Work out the volume of solid B. . . . . . . . . . . . . . . . . . . cm3 Solid B has a total surface area of 160 cm2. Work out the total surface area of solid A. Use the space below to set yourself a question similar to the ones you were able to answer confidently. Use the space below to answer the question that you have set yourself My own question… My answer… My own question… My answer… Surface Area and Volume Grade E I know the formula for the volume of a cuboid. D I can solve problems involving the volume and surface area of cuboids. C B A/A* I can calculate the volume and surface area of prisms and cylinders. I can calculate the volume of pyramids, cones & spheres. I can solve problems using area and volume scale factors. Use the learning journey above to highlight the mathematical skills that you have now which you didn’t have at the start of the unit of work. How much progress have you made? What can you do to improve your skills as a learner in order to make even better progress? My teachers probing question My answer What I will do to act upon my ‘Even Better If’’ comment Strategy Complete a mymaths lesson or booster pack Use a revision guide or text book Ask my teacher to explain during a lesson Ask a peer to explain during a lesson Ask someone at home to help Attend a revision session at school Attend homework club Something else (describe your strategy here) Tick / Comments