Question

HELP ME PLS! ASAP!

An image of a rectangular prism is shown below:
Part A: A cross section of the prism is cut with a plane parallel to the base. What is the name of the shape created by the cross section? Explain your answer. (5 points)

Part B: If a cross section of the prism is cut diagonal to the base, what would be the shape of the resulting cross section? (5 points)

Answer 1

The answer to your problem is,

• Part A = rectangular prism.
• Part B = triangular prism.

Explanation:

A rectangle prism has a rectangular base and uniform in height

The shapes formed are:

• Rectangular Prism

• Triangular Prism

Part A :

When the rectangular prism is cut so that it is perpendicular to the rectangular base, the the shape formed would be a rectangular base, then the shape formed would be a rectangular prism shape.

Part B :

When the rectangular prism is cut across the opposite diagonals, then the shape formed would be a triangular prism.

Thus the answer to your problem is,

• Part A: Rectangular Prism

• Part B: Triangular Prism

Answer 2

Part A: the cross section is a rectangle.

Part B: it’s a parallelogram.

Explanation:

Part A explanation: The cross section is a rectangle. The cross section of any right prism parallel to its base is congruent to the base. Figure 2 shows the cross section of a right rectangular prism perpendicular to its base. The cross section is a rectangle.

Part B explanation: When a rectangular prism is cut diagonally to its base, the cross-section is a parallelogram.