Math topic中文

Ratio volumes

ratio of volumes of similar solids

Practice questions

  1. 1The picture shows a model terracotta warrior. The model has height of 15 cm and weighs 20 grammes. A similar terracotta…
  2. 2The figure shows a solid frustum of height 16 cm cut from a right pyramid with square base. The horizontal top surface h…
  3. 3An industrial mixer is made up of an open cylinder connected to a cone. The height of the cylinder and the cone is 1.2 m…
  4. 4A cargo ship has an average fuel consumption of 0.000 892 kilometres per litre. Write this consumption in litres per kil…
  5. 5The figure above shows a solid. The cross-section of the solid is a sector of a circle of radius 5 cm and angle 30°. The…
  6. 6The diagram shows a pyramid with a rectangular base and its height is 9 cm. The volume of the liquid in the pyramid is 23\tfrac{2}{3}…
  7. 7两个正方体的棱长比是3：5，这两个正方体的体积比是( )。 A. 27：125 B. 9：25 C. 3：5 D. 无法计算
  8. 8ξ={x:x is an integer, 2≤x≤14}\xi = \{x : x \text{ is an integer},\ 2 \le x \le 14\} A={x:x is a prime number}A = \{x : x \text{ is a prime number}\} B={x:x is a multiple of 3}B = \{x : x \text{ is a multiple of 3}\}…
  9. 9A manufacturer sells drinks in bottles of two sizes that are geometrically similar. Some specifications for the bottles…
  10. 10The diagram shows two geometrically similar containers. The cost of painting the base area of the smaller container is 2564\frac{25}{64}…
  11. 11Two empty paper cups are geometrically similar. The thickness of the paper used is negligible. The big cup can be filled…
  12. 12Three tin containers are geometrically similar. The heights of tin container A and tin container C are 8 cm and 16 cm re…
  13. 13A container is a prism with a cross section in the shape of a right-angled triangle. The container has a height of 12 cm…
  14. 14The following diagram shows 2 geometrically similar boxes of cereals of the same brand. Show that the cost of the cereal…
  15. 15The diagram shows two geometrically similar cup and saucer sets. The diameter of the smaller saucer is 5 cm. The diamete…
  16. 16A square pyramid P has base with side xx m, height yy m and a volume of 300 m^3. Find the volume of a similar square p…
  17. 17A paper cup is in the shape of an inverted cone. The diameter of the top of the cup is 8 cm. The height of the cone is 6…
  18. 18The base areas of two geometrically similar cones are in the ratio of 9 : 49. If the volume of the bigger cone is 1200 c…
  19. 19The diagram shows a right pyramid of height 45 cm. The volume of the liquid in the pyramid is half the volume of the pyr…