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12 1 Prisms Filled Out

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    12 1 Prisms Filled Out 12 1 Prisms Filled Out Presentation 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