A rectangle with length l and width w is translated a distance of h perpendicular to the plane it is in. If copies of the rectangle are left along the path of the translation, what 3-dimensional figure is formed, and what is its volume?
Pyramid; V = 1/3 lwh
Prism; V = 1/3 lwh
Pyramid; V = lwh
Prism; V = lwh
The correct answer is: Prism; V = lwh.
When a rectangle is translated a distance ( h ) perpendicular to the plane it is in, it forms a rectangular prism. The volume ( V ) of a prism is calculated using the formula ( V = text{Base Area} times text{Height} ), where the base area is ( l times w ). Thus, the volume is given by ( V = lwh ).
If you have further questions or need more in-depth assistance, feel free to check the extended services page!