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# 12 1 Prisms Filled Out

## on Apr 30, 2009

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## 12 1 Prisms Filled OutPresentation Transcript

• 12-1 Prisms
• Notes
• A Prism is a 3D solid with two congruent sides called bases
• The bases are in parallel planes
• Other sides are called lateral faces
• In between the lateral faces are lateral edges
• The Surface Area or Total Area of the sum of all its faces
• The Lateral Area is the sum of all its lateral faces
• Notes
• Notes The Lateral Area of a right prism L.A. = Ph The Surface Area or Total Area of a right prism T.A. = L.A. + 2B
• Notes
• Theorem 12-2
• EXAMPLE 2 Find volumes of prisms and cylinders Find the volume of the solid. a. Right trapezoidal prism SOLUTION V = Bh = 30(5) = 150cm 3 (3)(6 + 14) a. The area of a base is 1 2 = 30cm 2 and h = 5 cm.
• EXAMPLE 3 Use volume of a prism ALGEBRA The volume of the cube is 90 cubic inches. Find the value of x . SOLUTION A side length of the cube is x inches. V = x 3 90 in 3 . = x 3 4.48 in. ≈ x Formula for volume of a cube Substitute for V . Find the cube root.
• SPICSA
• 478 2-18 even