Lesson: 12 – 2 Surface Areas of Prisms & Cylinders

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Presentation transcript:

Lesson: 12 – 2 Surface Areas of Prisms & Cylinders Applied Geometry Lesson: 12 – 2 Surface Areas of Prisms & Cylinders Objective: Learn to find the lateral areas and surface areas of prisms and cylinders.

Lateral Area (of a solid) – the sum of all the areas of the lateral sides Surface Area (of a solid) – the sum of the areas of all it surfaces. Volume (of a solid) - measures the space contained within a solid.

Abbreviations h – height P – Perimeter of base B – Area of base d – diameter r – radius l - Slant Height

Activity Use geometric shapes to find formulas. Prisms Lateral Area L = Ph Surface Area S = Ph + 2B Volume V = Bh Pyramids Lateral Area L = ½ P l Surface Area S = ½ P l + B Volume V = (1/3)Bh

Cylinders Lateral Area Surface Area Volume Cone Sphere

Activity Net - a two-dimensional pattern that folds to form a solid.

Find the lateral area and the surface area of the rectangular prism.

Find the lateral area and surface area of the triangular prism. Find c first.

Find the lateral area and surface area of the cylinder to the nearest hundredth.

Homework Pg. 508 1 – 6 all, 8 – 24 E