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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 1 : 8. The surface area of solid A is 20cm2. Calculate the surface area of solid B. |
| 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 2 : 7. The volume of solid B is 5145cm3. 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 4 : 81. The height of solid B is 117cm. Calculate the height of solid A. |
| 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 16 : 81. The volume of solid B is 13122cm3. 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 : 729. The height of solid B is 90cm. Calculate the height of solid A. |
| 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 1 : 216. The surface area of solid B is 324cm2. Calculate the surface area of solid A. |
| Question 7: Solid A and solid B are mathematically similar. The height of solid A is 6cm and the height of solid B is 18cm. 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 400cm2 and the surface area of solid B is 576cm2. 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 896cm3 and the volume of solid B is 1750cm3. Calculate the ratio of the surface area of solid A : the surface area of solid B. |
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Answers
| Question 1: 1280cm2 |
| Question 2: 120cm3 |
| Question 3: 26cm |
| Question 4: 1152cm3 |
| Question 5: 50cm |
| Question 6: 9cm2 |
| Question 7: 1 : 27 |
| Question 8: 125 : 216 |
| Question 9: 16 : 25 |