# math

posted by .

what is the surface area of two similar containers are 1125 n 375 what is the volume for the container if the other one is 450

• math -

surface area of similar solids is proportional to the square of their sides
1125 : 375= s1^2 : s2^2
= 45:15 = 9 : 3 = 3:1

s1 : s2 = √3 : 1

the volume of two similar solids is proportional to the cube of their sides
You don't say whether 450 is the larger or the smaller

I will assume it to be the larger

450 : x = √3^3 : 1^3
450 / x = 3√3
3√3x = 450
x = 450/(3√3) = 150/√3 or 50√3 after rationalizing

if 450 was the smaller, solve
x/450 = √3^3 / 1^3

## Similar Questions

1. ### Chemistry

Two rigid containers of equal volume hold hydrogen and argon gases respectively at the same temperature and pressure. Which of the following statements is(are) false ?
2. ### geometry

Gasoline Containers Mark Russo has two right cylindrical containers for storing gasoline. One has a diameter of 10 in. and a height of 12 in. The other has a diameter of 12 in. and a height of 10 in. a. Which container holds …
3. ### Algebra

Use this proportionality: A correlation V square 2/3 How much more material is needed to manufacture an industrial plastic container with twice the volume of a similar container?
4. ### Math

Mrs.Thompson has two containers of orange juice. One of the containers has 1/4 gallon of juice and the other container has 2/4 gallon of juice. How much orange juice do the containers have together?
5. ### math

Two prisms are similar. The surface area of one is four times the surface area of the other. What is the ratio of the corresponding dimensions?
6. ### Science

container factory uses a 450 W motor to operate a conveyor belt that lifts containers from one floor to another. To lift 250 1-kg containers a vertical distance of 2.4 m, the motor runs for 45 s. What is the efficiency of the motorized …
7. ### MATH HELP ASAP

Please Help!! Louis is planning to mow a rectangular yard that is 20 feet longer than it wide. He wants to find its width if its area is 1125 square feet. Which equation models this problem?
8. ### math

Two cylindrical containers are similar. The larger one has internal cross- section area of 45cm^2 and can hold 0.945 litres of liquid when full. The smaller container has internal cross- section area of 20cm^2. (a) Calculate the capacity …
9. ### math

Two cylindrical containers are similar. The larger one has internal cross- section area of 45cm^2 and can hold 0.945 litres of liquid when full. The smaller container has internal cross- section area of 20cm^2. (a) Calculate the capacity …
10. ### Physical Science

Question: Suppose you have sunlight shining on two clear containers of water on a table. Light waves refract through one of the containers but diffract around the other container. Describe how the two containers are different. (I have …

More Similar Questions