Surface Area and volume of similar figures

Front

What is the scale factor of two similar figures?

Back

The scale factor is the ratio of the lengths of corresponding sides of two similar figures.

Front

If the surface area of a smaller prism is 144 m² and the larger prism is 324 m², what is the scale factor?

Back

Front

How do you find the surface area of a larger figure if the smaller figure's surface area is known?

Back

Use the scale factor squared to find the larger surface area: Larger Surface Area = Smaller Surface Area × (Scale Factor)².

Front

What is the relationship between the scale factor and the surface areas of similar figures?

Back

The ratio of the surface areas of two similar figures is equal to the square of the scale factor.

Front

Back

Front

What is the formula to calculate the volume of similar figures based on the scale factor?

Back

The volume ratio is equal to the cube of the scale factor: Volume Ratio = (Scale Factor)³.

Front

If the volume of a smaller can is 1157 cm³ and the surface areas are 1019 cm² and 425 cm², how do you find the volume of the larger can?

Back

Use the ratio of the surface areas to find the volume: Larger Volume = Smaller Volume × (Surface Area Ratio)³.

Front

What is the scale factor if the surface areas of two similar figures are 144 m² and 324 m²?

Back

Front

Define similar figures in geometry.

Back

Similar figures are shapes that have the same shape but may differ in size, with corresponding angles equal and corresponding sides in proportion.

Front

What is the significance of the scale factor in geometry?

Back

The scale factor helps determine the relationship between the dimensions, surface areas, and volumes of similar figures.