Similar Solids and Changing Values

Front

What is the volume of a solid?

Back

The volume of a solid is the amount of space it occupies, measured in cubic units.

Front

If two solids are similar, what is the ratio of their corresponding linear dimensions?

Back

The ratio of their corresponding linear dimensions is the same.

Front

How does the volume of similar solids relate to their linear dimensions?

Back

The volume ratio of similar solids is the cube of the ratio of their corresponding linear dimensions.

Front

What happens to the volume of a solid if its side lengths are doubled?

Back

The new volume will be 8 times larger.

Front

What is the formula for the volume of a pyramid?

Back

The volume of a pyramid is given by V = (1/3) * base area * height.

Front

If the side lengths of a pyramid are tripled, what happens to its volume?

Back

The new volume will be 27 times larger.

Front

What is the surface area of a pyramid?

Back

The surface area of a pyramid is the sum of the base area and the area of the triangular faces.

Front

If two figures are similar, what is the ratio of their surface areas?

Back

The surface area ratio is the square of the ratio of their corresponding linear dimensions.

Front

What is the volume of a larger pyramid if the smaller pyramid has a volume of 2 yd³ and the scale factor is 2?

Back

The volume of the larger pyramid is 16 yd³.

Front

What is the relationship between the volume ratio and the surface area ratio of similar solids?

Back

The volume ratio is the cube of the linear ratio, while the surface area ratio is the square of the linear ratio.