SSGM2

3-D Mensuration I

Find surface area and volume of prisms, cones, pyramids, and frustums; prove the angle-sum theorem.

Properties and Nets of Solid Shapes

Total Surface Area of a CylinderComplete the earlier lesson to unlock

Surface Area of a Cone — The Sector DerivationComplete the earlier lesson to unlock

Volumes of Prisms, Cylinders, Cones, and PyramidsComplete the earlier lesson to unlock

Frustums, the Angle Sum Proof, and the Exterior Angle TheoremComplete the earlier lesson to unlock

Unit review reward

All 5 lessons in 3-D Mensuration I

Identify six solid shapes, state their faces, edges and vertices, sketch their nets, and use l^2 = r^2 + h^2 for the cone.

Derive and apply the curved and total surface area formulas of a cylinder, for closed and open cylinders, and find unknown dimensions.

Derive CSA = pi r l from the net sector, compute CSA and TSA of a cone, and convert between a cone and its sector.

Use V = Ah for prisms and cylinders, the one-third rule for cones and pyramids, Pythagoras for pyramid height, and convert cm3 to litres.

Find frustum volumes by subtraction using similar triangles, and prove the angle sum and exterior angle theorems of a triangle.

Unit code SSGM2