Name Date SA Prism Practice Find the surface area of the prism formed by the net above. 1. Find the area of the front face: A = ____ ____ = ____ in2. The area of the front and back faces is 2 ____ ____ = ____ in2. 2. Find the area of the side face: A = ____ ____ = ____ in2. The area of 2 side faces is 2 ____ ____ = ____ in2. 3. Find the area of the top face: A = ____ ____ = ____ in2. The area of the top and bottom faces is 2 ____ ____ = ____ in2. 4. Combine the area of the faces: S = ____ + ____ + ____ = ____ in2. The surface area of the prism is ____ in2. 5. Use the formula S = Ph + 2B to find the surface area. The surface area of the prism is ____ in2. Find the surface area of the prism formed by each net. 6. S = _________________ 7. S = _________________ Class 8. S =_________________ 9. S =_________________ 10. One quart of the paint Demarco is using will cover 100 square feet. How many cubes like the one at the right can Demarco paint with 1 quart of paint? 11. Suppose you double each of the dimensions of a rectangular prism. How will the surface area of the new rectangular prism compare to the surface area of the original rectangular prism? Explain how you decided upon your answer. Maintain Your Skills 1. Tara invested $15,000 in an account that pays 4% annual simple interest. Tamara will not make any additional deposits or withdrawals. How much interest will Tamara earn on her investment at the end of 3 years? A B C D $1,800 $600 $450 $1,873 2. An aquarium is being filled with water. The graph shows the height of the water over time as the aquarium is being filled. Which statement best describes the rate of change for this situation? A The height of the water increases 20 inches per second. B The height of the water increases 1 inch per second. C The height of the water increases 5 inches per second. D The height of the water increases 2.5 inches per second. ANSWERS 1. A = 8 5 = 40 in.2; 2 8 5 = 80 in.2 2. A = 5 3 = 15 in.2; 2 5 3 = 30 in.2 3. A = 8 3 = 24 in.2; 2 8 3 = 48 in.2 4. S = 80 + 30 + 48 = 158 in.2; 158 in.2 5. 158 in2 6. 340 in2 7. 48 cm2 8. 88 in.2 9. 152 in2 10. 4 cubes 11. The surface area will be 4 times as great. Sample answer: Since you are finding area and you multiply each dimension by 2, the area will be multiplied by 2 2, or 4. Maintain Your Skills 1. A 2. D
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