The rectangular prism is to be sliced perpendicular to the shaded face and is to pass through point A, perpendicular to the fron
t face. What will the dimensions of the rectangular cross section be? A rectangular prism. The rectangular base has a length of 4 inches and width of 3 inches. The height of the prism is 6 inches. Point A is at the top of the rectangle with length 6 inches and width 3 inches.
4 inches by 6 inches
4 inches by 3 inches
3 inches by 6 inches
2 inches by 6 inches
Notice that point A is a mid point. If we cut the prism though that point, perpendicular to the shaded face, it means the side of 4 inches will be divide in two equal parts, and the 3-6 inches face won't be cut.
Therefore, the dimensions of the cross section is 3 inches by 6 inches, which are the dimensions of the face that won't be cut, because they don't intersect with point A.
