Question

A wooden block measures 2 inches by 2 inches by 3 inches. A wedge is cut off from each corner of the block by slicing at points that are 1 inch from each corner. How many edges does the resulting solid have?

Answer 1

The resulting solid will have four edges.

Step-by-step explanation:

To find the number of edges in the resulting solid, let's first determine the dimensions of the solid after the wedges are cut off.

The original wooden block measures 2 inches by 2 inches by 3 inches. After cutting off the wedges, each side will be reduced by 2 inches (1 inch from each corner), resulting in a solid with dimensions of 2 - 2(1) = 0 inches by 2 - 2(1) = 0 inches by 3 - 2(1) = 1 inch.

A solid with dimensions of 0 inches by 0 inches by 1 inch is essentially a rectangular prism with one dimension equal to zero. Such a solid has six faces, eight vertices, and four edges.

Therefore, the resulting solid will have four edges.

Answer 2

Number of edges in the resulting solid = 12

Step-by-step explanation:

A wooden block measures 2 inches by 2 inches by 3 inches. A wedge is cut off from each corner of the block by slicing at points that are 1 inch from each corner.

We are supposed to find the number of edges that are in the resulting solid.

In some corners , if we take out inch from both, then there would be nothing remaining.

The two faces along the height would be removed and it will become sharpened.

So the number of edges = 4 + 4 + 4 = 12