3D - dimensional change

Front

What happens to the area of a shape when its dimensions are scaled by a factor of k?

Back

The area is multiplied by a factor of k².

Front

If the length, width, and height of a 3D figure are scaled by factors of a, b, and c respectively, how is the new volume calculated?

Back

New Volume = Original Volume × a × b × c.

Front

What is the relationship between the scale factor and the volume of a 3D object?

Back

If the scale factor is k, the volume is multiplied by k³.

Front

How do you find the volume of a cylinder?

Back

Volume = π × radius² × height.

Front

If a cylinder's dimensions are halved, what happens to its volume?

Back

The volume is reduced to 1/8 of the original volume.

Front

What is the formula for the area of a triangle?

Back

Area = 1/2 × base × height.

Front

If the dimensions of a triangle are doubled, how does its area change?

Back

The area is multiplied by 4.

Front

What is the effect of scaling a 2D shape on its perimeter?

Back

The perimeter is multiplied by the scale factor.

Front

How do you calculate the volume of a rectangular prism?

Back

Volume = length × width × height.

Front

What is the volume of a cube with side length s?

Back

Volume = s³.