# 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?

How do i figure that out?

Did you learn that the volumes of similar objects are proportional to the cubes of their sides?

so vol(smaller prism)/168 = (3^3)/(2^3)

etc.

1. 👍 0
2. 👎 0
3. 👁 212

## 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? We have a theorem that says The volumes of similar objects are proportional to the cubes

asked by Emily on April 26, 2007
2. ### Geometry

Two similar rectangular prisms have a scale factor of 4:1. The smaller prism has a volume of 6 cubic centimeters. What is the volume of the larger prism in cubic centimeters?

asked by Marcus on May 28, 2019
3. ### 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? thank you.

asked by brianna on December 14, 2008
4. ### 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.

asked by hello on July 16, 2010
5. ### 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?

asked by scott on January 28, 2011
6. ### 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.

asked by Bill on June 4, 2011
7. ### geometry

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?

asked by Olivia on April 7, 2013
8. ### 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

asked by SkatingDJ on May 6, 2016
9. ### math

Each of two trapezoidal prisms has a volume of 120 cubic centimeters. The prisms have no dimensions in common. Give possible dimensions for each prism. THANK YOU!

asked by Tim on January 24, 2016
10. ### Math

Which statement is true about all prisms? A. Prisms have a pair of opposite faces B. The faces of a prism are congruent C. Prims have the same number of verticrs as edges D. The base of a prism is larger then the other faces.

asked by Bill on November 22, 2010

More Similar Questions