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Ratios in similarity worksheet

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Question 1:     Solid A and solid B are mathematically similar. The ratio of the height of solid A to the height of solid B is 2 : 5. The surface area of solid B is 150cm2. Calculate the surface area of solid A.
Question 2:     Solid A and solid B are mathematically similar. The ratio of the height of solid A to the height of solid B is 5 : 6. The volume of solid B is 2808cm3. Calculate the volume of solid A.
Question 3:     Solid A and solid B are mathematically similar. The ratio of the surface area of solid A to the surface area of solid B is 9 : 16. The height of solid A is 42cm. Calculate the height of solid B.
Question 4:     Solid A and solid B are mathematically similar. The ratio of the surface area of solid A to the surface area of solid B is 1 : 9. The volume of solid B is 432cm3. Calculate the volume of solid A.
Question 5:     Solid A and solid B are mathematically similar. The ratio of the volume of solid A to the volume of solid B is 125 : 512. The height of solid A is 40cm. Calculate the height of solid B.
Question 6:     Solid A and solid B are mathematically similar. The ratio of the volume of solid A to the volume of solid B is 27 : 512. The surface area of solid B is 576cm2. Calculate the surface area of solid A.
Question 7:     Solid A and solid B are mathematically similar. The height of solid A is 12cm and the height of solid B is 96cm. Calculate the ratio of the volume of solid A : the volume of solid B.
Question 8:     Solid A and solid B are mathematically similar. The surface area of solid A is 180cm2 and the surface area of solid B is 500cm2. Calculate the ratio of the volume of solid A : the volume of solid B.
Question 9:     Solid A and solid B are mathematically similar. The volume of solid A is 136cm3 and the volume of solid B is 5831cm3. Calculate the ratio of the height of solid A : the height of solid B.
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Answers

Question 1:     24cm2
Question 2:     1625cm3
Question 3:     56cm
Question 4:     16cm3
Question 5:     64cm
Question 6:     81cm2
Question 7:     1 : 512
Question 8:     27 : 125
Question 9:     2 : 7
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