The rectangular prism is to be sliced perpendicular to the shaded face and is to pass through point A, perpendicular to the front 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

C: 3 inches by 6 inches

Step-by-step explanation:

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.

26

step-by-step explanation:

the discriminant is 64 + 4*1*12 = 112

this is prime.

step-by-step explanation: