geometry

posted by .

The ratio of two similar prisms is 2:5 the volume of the larger is 375cm3 if sand is being poured into the smaller prism at 3cm3 per second how many seconds will it tAke to fill the smaller prism?

  • geometry -

    2/5 = x/375

    5x = 750

    x = 150

    150/3 = 50 seconds

  • geometry -

    Find the volume of the smaller one by using a proportion. The volume is 150, and then just divide it by 3. Pretty simple once you get it, and your answer would be 50 sec.

  • geometry -

    I will assume you mean that the ratio of their corresponding sides is 2 : 5.
    the volume of two similar figures is proportional to the cube of their sides

    so V1/V2 = 2^3 / 5^3 = 8/125

    V1/375 = 8/125
    V1 = 24

    so time to fill the larger = 375/3 = 125 seconds
    time to fill the smaller = 24/3 = 8 seconds

    If the two volumes are in the ratio of 2 : 5 then go with the two solutions by Ms. Sue and Shaniqua

    (Can you see how important it is to clearly state your problem ?)

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. geometry

    the volume of a larger prism is 128 cubic cm. if the prisms are similar with linear ration of 4:3, what is the volume of the smaller prism?
  2. math

    The volume of a larger prism is 168 cubic cm. if the prisms are similar with a linear ratio of 3:2 what is the volume of the smaller prism?
  3. Geometry

    Please Help thanks _____________________ Two similar rectangular prism have corresponding sides that measure 5 feet and 6 feet. If the surface area of a smaller prism is 525 square feet, what is the surface area of a larger prism?
  4. Geometry

    Please Help thanks _____________________ Two similar rectangular prism have corresponding sides that measure 5 feet and 6 feet. If the surface area of a smaller prism is 525 square feet, what is the surface area of a larger prism?
  5. math

    2 rectangular prisms are proportional. the edges of the smaller prism are half as long as the edges of the larger prism. The volume of the larger prism is 1,024 cubic feet. the volume of the smaller prism is what?
  6. geometry

    Two similar rectangular prisms have a scale factor of 4:9. The volume of the smaller prism is 60 cm3. Find the volume of the larger prism.
  7. geometry

    2 regular hexagonal prisms are similar. The areas of their bases are 25 and 18. The height of th larger prism is 10. What is the volume of the smaller prism?
  8. geometry

    two smaller prisms have heights 2' and 10'. If the volume of the smaller prism is 32 cubic feet, find the volume of the larger prism.
  9. Geometry

    A regular pentagonal solid prism has 9cm base edges. A larger, similar solid prism of the same material has 36cm base edges. How does each indicated measurement for the larger prism compare to the same measurement for the smaller prism?
  10. Math

    Suppose you have two similar rectangular prisms. The volume of the smaller rectangular prism is 343 in^3 and the volume of the larger rectangular prism is 1,000 in^3. What is the scale factor of the smaller figure to the larger figure?

More Similar Questions