More Similarity Questions

Here's more practice on similarity --most about 3-dimensional solids. Make diagrams for the questions without any. Go to it. 1) A company makes 2 similar cylindrical vases. The smaller one has a diameter of 10 cm. and a height of 20 cm. The total area of the larger vase is 4 times that of the smaller. Find the dimensions and volume of the larger vase. .2) Two right prisms with rectangular bases are similar. The base area of the smaller is 3.14 cm² and its height is 1.5 cm. The base area of the larger is 78.5 cm². What is the volume of the larger prism rounded to the nearest unit? .3) x x+1 3x 4x+1 A B C D E F G H I AB is parallel to CD the measures are as indicated. Find the measures of EF, FG, EI, and IH. .4) 2 cm volume = 64 cm³ volume = 125 cm³ A jar manufacturer already makes the blue jar seen at left. They need to produce a bigger jar like the one on the right similar to the first. What is the area of the base of the larger jar? Leave o in the answer. . More Similarity Practice PDF created with pdfFactory Pro trial version www.pdffactory.com5) Two cylindrical food cans are similar. The diameter of the smaller can equals the radius of the larger can. How many of the smaller cans could we fill with the full contents of the larger one? .6) volume = 4800 cm³ 20 cm. volume = ? 5 cm. We're going to melt down the mother piece of metal to turn it into a bunch of little ones similar to the original. The measures are as shown. What is the volume of each smaller metal cylinder? .Solutions 1) h = 40 cm, r = 10 cm and volume = 12566 cm³. 2) Aa= 78.5 3.14 = 25 1 , therefore big V = 125(little V) = 589 cm3 3) x 3x = x + 1 4x + 1 t 13= x + 1 4x + 1 t 4x + 1 = 3x + 3tx = 2 so, EF = 2, FG = 6, EI = 3, IH = 9 .4) Vv= 125 64 , so Aa= 25 16 , and small area = 4o, so A = 25 16 (4o) = 6.25o cm2. .5) We could fill 8 small cans with the contents of the larger one. .6) The volume of each small piece of metal will be 1/64th the volume of the mother piece. The volume will be 75 cm³. .. Back to MathTub Index . More Similarity Practice PDF created with pdfFactory Pro trial version www.pdffactory.com