## What is the similarity ratio of a prism with surface area 36 ft?

Step-by-step explanation: The similarity ratio of a prism with a surface area of 36 cmÂ² to a similar prism with a surface area of 400 cm is 3.10.

## What is the similarity ratio of a prism with surface area 361 ft2 to a similar prism with surface area 81 ft2?

the ratio of the surface areas are 361/81. surface area is a 2D measurement. similarity is a 1D ratio. square root of 361/81 is 19/9.

## How do you know if two rectangular prisms are similar?

How do you know? Solution: Match up the corresponding heights, widths, and lengths to see if the rectangular prisms are proportional. The congruent ratios tell us the two prisms are similar.

## How do you find surface area with similarity ratio?

Surface Areas of Similar Solids If two solids are similar, then the ratio of their surface areas is equal to the square of the ratio of their corresponding linear measures.

## What is the ratio of the surface areas?

The ratio of their surface areas is the side ratio squared and note that the ratios of the areas does not give the actual surface areas. The volume ratio for the two solids is the side length ratio raised to the third power. Again, this is not the solids’ volume, only the ratio of the volumes.

## Can a rectangular prism have the same volume and surface area?

Two figures can have the same volume but different surface areas. For example: A rectangular prism with side lengths of 1 cm, 2 cm, and 2 cm has a volume of 4 cu cm and a surface area of 16 sq cm. A rectangular prism with side lengths of 1 cm, 1 cm, and 4 cm has the same volume but a surface area of 18 sq cm.

## Which shape has the highest surface area to volume ratio?

The surface area to volume ratio for a cube is 6 to 1 (6:1). Of all the Platonic solids (solids with identical faces) the icosahedron has the lowestsurface area to volume ratio.

dome house

hexagon