Changing Dimensions--SA, V

Front

What happens to the perimeter of a square if the sides are halved?

Back

The perimeter is halved.

Front

If you multiply each dimension of a shape by 6, what is the effect on the surface area?

Back

The surface area is multiplied by 36.

Front

If each edge of a pyramid is multiplied by ⅔, how does the surface area change?

Back

The surface area is 4/9 times the original.

Front

When the edge of a cube is tripled in size, how does the volume change?

Back

The volume is 27 times larger.

Front

If two cones are similar and one has a radius of 12 inches while the larger has a radius of 20 inches, what is the volume of the smaller cone if the larger cone's volume is 20,000 cubic inches?

Back

The volume of the smaller cone is 4320 cubic inches.

Front

What is the formula for the surface area of a cube?

Back

Surface Area = 6a², where 'a' is the length of an edge.

Front

What is the formula for the volume of a cube?

Back

Volume = a³, where 'a' is the length of an edge.

Front

How does the volume of a shape change if all dimensions are doubled?

Back

The volume increases by a factor of 8.

Front

What is the relationship between the dimensions of similar shapes?

Back

The ratios of corresponding dimensions are equal.

Front

What happens to the surface area of a shape if its dimensions are halved?

Back

The surface area is reduced to 1/4 of the original.