Geometry
posted by Elizabeth .
The surface areas of two similar figures are given. The volume of the largwe figure is given. Find the volume of the smaller figure if the SA= 25 cm SA= 36cm and the V= 216cm?

I assume SA is surface area and is in cm^2
I assume V is volume and is in cm^3
SA proportional to length squared
Volume proportional to length cubed
length1^2/length2^2 = 25/36
so
length1/length 2 = sqrt(25/36) = .83333
so
length1^3/length2^3 = .83333^3 = .5787
so
V1 = .5787 V2 = 125 cm^3
Respond to this Question
Similar Questions

geometry
The Volumes of two similar figures are given. The surface area of the smaller figure is given. Find the surface area of the larger figure. V= 27m^3 V= 64m^3 S.A.= 63m^2 
geometry
The volumes of two similar figures are given. The surface area of the smaller figure is given. Find the surface area of the larger figure. V = 8ft^3 V = 125ft^3 S.A. = 4ft^2 
geometry
The surface areas of two similar solids are 289 ft2 and 900 ft2. The volume of the larger solid is 1,755 ft3. What is the volume of the smaller solid? 
geometry
The volumes of two similar figures are given. The surface area of the smaller figure is given. Find the surface area of the larger figure. V = 5 in3 V = 40 in3 S.A. = 4 in2 
Math
Mary made two rectangular prims figures with four1 inch cubes. Which statement is true about the volumes and surface areas of the two figures.( there is figure A and figure B made out of four cubes but in different position ) A. The … 
geometry
the surface areas of two similar solids are 340 yd2 and 1158 yd2 the volume of the larger solids is 1712 yd3 what is the volume of the smaller solid? 
Geometry
The volume of two similar rectangular prisms are 64cm^3 and 1000cm^3. The surface area of the smaller figure is 112cm^2. What is the surface area in square centimeters of the larger figure? 
Math
5. Find the surface area of the cylinder to the nearest whole number. (1 point)1,659 in.2 898 in.2 5,862 in.2 2,959 in.2 6. Find the surface area of the pyramid shown to the nearest whole number. (1 point)1,540 m2 770 m2 396 m2 749 … 
Geometry
The volumes of two similar figures are given. The surface area of the smaller figure is given. Find the surface area of the larger figure. Smaller figure: V = 2 yd^3 SA = 13 yd^2 Larger figure: V = 250 yd^3 SA = ? 
Math
two pyramids are similar with a ratio of surface areas of 25:64, find the volume of the second pyramid given that the first has a volume of 250 m