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Briana had $30 to spend on herself. She spent 1/5 of the money on candy, 1/6 for a sandwich, and 1/2 of it on a book. How much money does Briana have left over? 1/5 of $30 = 1/6 of $30 = 1/2 of $30 = 1/5 ∙ $30 = 1/6 ∙ $30 = 1/2 ∙ $30 = $6 $5 $15 Spent 6+5+15 = $26 $30 – $26 = Has $4 left!
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NCP 505: Work with squares and square roots of numbers NCP 507: Work with cubes and cube roots of numbers*
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Squares have four equal sides, therefore to find the area of a square, you would multiply two of the sides: A = s ∙ s s s 6 A = 6 ∙ 6 A = 36
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The area of Tom’s square bedroom is 144 square feet. What is the length of the walls? A = s ∙ s = s 2 s s A = s 2 144 = s 2 √144 = s 12 ft = s The opposite of a square is a square root!
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The area of Tom’s square backyard is 400 square feet. If Tom wanted to build a fence around his yard, how much fencing will he need? A = s 2 400 = s 2 √400 = s 20 ft = s 20 ft P = s+s+s+s P = 20+20+20+20 P = 80 ft
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Tom has to buy fencing for his square backyard. If the area of his yard is 484 square feet and each foot of fencing costs $5.75, how much will Tom pay? A = s 2 484 = s 2 √484 = s 22 ft = s 22 ft P = 4s P = 4 ∙ 22 P = 88 ft Cost = $5.75 ∙ 88 Cost = $506
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Every side of a cube is the same length, so to find the volume of a cube, you would multiply L ∙ W ∙ H, or in a cube, s 3. V = l ∙ w ∙ h V = s 3 s s 6 ft V = 6 ∙ 6 ∙ 6 A = 216 ft 3 s
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Deborah has a cubic box full of sand. If there are 343 in 3 of sand in the box, how long are the sides? s V = s 3 343 = s 3 3 √343 = s 7 ft = s V = l ∙ w ∙ h = s 3
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Deborah has a cubic box full of water. If she can fit 1728 ft 3 of water in the box, what is the area of one of the sides of the box? s V = s 3 1728 = s 3 3 √1728 = s 12 ft = s V = s 3 A = s 2 A = 12 2 A = 144 ft 2
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Surface area is the total area of the surface of a 3D object. A cube has 6 sides! What is the surface area of a cube whose volume is 8000 ft 3 ? s V = s 3 8000 = s 3 3 √8000 = s 20 ft = s V = s 3 A = s 2 A = 20 2 A = 400 ft 2 A SA = 400 ∙ 6 sides Surface Area = 2,400 ft 2
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