measurementandspace core
MA5-ARE-C-01 solves problems involving the surface area of right prisms and practical problems involving the area of composite shapes and solids
📖 Prior Knowledge
Content Prior knowledge Used for Right-angled Triangles - calculating side lengths of right-angled triangles - calculating surface area of triangular prisms Area - calculating areas of plane shapes - calculating surface area Volume - 3D shapes - distinguishing between volume and surface area of 3D solids Equations A - solving multistep equations - solving problems involving surface area
Solve practical problems involving the areas of composite shapes
Identify the edge lengths and the faces making up the surface area of prisms
Recognise and justify whether a diagram represents a net of a right prism
Create and rearrange nets of right prisms
Find the surface areas of prisms, given their nets, excluding curved surfaces
Solve problems involving surface areas of prisms, excluding curved surfaces
Recognise the curved surface of a cylinder as a rectangle and apply this knowledge to calculate the area of the curved surface
Develop and apply the formula to find the surface area of a closed cylinder: A = 2 π r 2 + 2 π r h , where r is the length of the radius and ℎ is the perpendicular height
Solve problems involving surface areas of cylinders and related composite solids