A rectangular prism has dimensions 712 in.×4 in.× 212 in. In the net of this prism, how many sides will be represented?
A rectangular prism has six sides.
In the net of this prism, we can visualize it as if we have unfolded it into its two-dimensional form. To do this, we need to unfold each face of the prism.
The top and bottom of the prism are both rectangles with dimensions 712 in.×4 in. When we unfold them, we get two rectangles with dimensions 712 in. ×212 in.
The front and back of the prism are both rectangles with dimensions 712 in.×212 in. When we unfold them, we get two rectangles with dimensions 4 in. ×212 in.
The sides of the prism are both rectangles with dimensions 4 in.×212 in. When we unfold them, we get two rectangles with dimensions 712 in. ×212 in.
Therefore, when we unfold this rectangular prism into its net, we will represent all 6 sides.
To determine the net of a rectangular prism, we need to find out how many faces will be represented.
A rectangular prism has 6 faces: 2 identical rectangular faces for the top and bottom, and 4 identical rectangular faces for the sides.
In this case, the dimensions of the rectangular prism are 712 in.×4 in.×212 in.
The top and bottom rectangles will have dimensions of 712 in. × 4 in.
The side rectangles will have dimensions of 712 in. × 212 in.
So, in the net of this rectangular prism, there will be 2 top/bottom faces and 4 side faces, totaling 6 faces represented.
To determine the number of sides represented in the net of a rectangular prism, we need to visualize how the prism unfolds and forms a flat surface.
A rectangular prism has six faces: top, bottom, front, back, left, and right. In the net of this prism, each face will be represented by a separate rectangle.
To find the number of rectangles/sides represented in the net, we count the number of distinct rectangles visible in the unfolded shape.
In this case, we have a rectangular prism with dimensions 712 in. × 4 in. × 212 in. Let's consider the unfolding of this prism:
1. The top face will be represented by a rectangle with dimensions 712 in. × 212 in.
2. The bottom face will also be represented by a rectangle with dimensions 712 in. × 212 in.
3. The front face will be represented by a rectangle with dimensions 712 in. × 4 in.
4. The back face will also be represented by a rectangle with dimensions 712 in. × 4 in.
5. The left face will be represented by a rectangle with dimensions 4 in. × 212 in.
6. Finally, the right face will also be represented by a rectangle with dimensions 4 in. × 212 in.
Thus, in the net of this prism, we have six rectangles/sides represented.