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# 12 1 Prisms Filled Out

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### 12 1 Prisms Filled Out

1. 1. 12-1 Prisms
2. 2. 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
3. 3. Notes
4. 4. 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
5. 5. Notes
6. 6. Theorem 12-2
7. 7. EXAMPLE 2 Find volumes of prisms and cylinders Find the volume of the solid. a. Right trapezoidal prism SOLUTION (3)(6 + 14)a. The area of a base is 1 2 = 30cm2 and h = 5 cm. V = Bh = 30(5) = 150cm3
8. 8. 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 = x3 90 in3 . = x3 4.48 in. ≈ x Formula for volume of a cube Substitute for V. Find the cube root.
9. 9. SPICSA • 478 2-18 even
10. 10. SPICSA • 478 2-18 even