Similar Solids

Front

What are similar solids?

Back

Similar solids are three-dimensional figures that have the same shape but may differ in size. Their corresponding dimensions are proportional.

Front

What is the scale factor in similar solids?

Back

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

Tags

CCSS.7.G.A.1

Front

How do you determine if two solids are similar?

Back

Two solids are similar if their corresponding angles are equal and the ratios of their corresponding side lengths are constant.

Front

What is the relationship between the volumes of similar solids?

Back

The ratio of the volumes of two similar solids is equal to the cube of the ratio of their corresponding side lengths.

Front

If the scale factor of two similar solids is 3:1, what is the ratio of their volumes?

Back

The ratio of their volumes is 3^3:1^3, which is 27:1.

Front

What are corresponding sides in similar solids?

Back

Corresponding sides are the sides of similar solids that are in the same relative position.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the ratio of surface areas of similar solids?

Back

The ratio of the surface areas of two similar solids is equal to the square of the ratio of their corresponding side lengths.

Tags

CCSS.7.G.B.6

Front

If the volume of a larger prism is 1000 cm³ and a smaller similar prism is 27 cm³, what is the ratio of their surface areas?

Back

The ratio of their surface areas is 100:9.

Front

How do you find the surface area of a similar solid if you know the surface area of one solid?

Back

To find the surface area of a similar solid, first determine the ratio of their corresponding side lengths, then square that ratio and multiply it by the known surface area.

Tags

CCSS.7.G.B.6

Front

What is the formula for the volume of a prism?

Back

The volume of a prism is calculated using the formula: Volume = Base Area × Height.

Tags

CCSS.7.G.B.6