Question

A rectangular pyramid was sliced parallel to its base. What is the shape of the cross section shown in the figure?
A rectangular pyramid. The cross section is a rectangle.
a triangle that has the same dimensions as one of the sides of the pyramid
a triangle that does not necessarily have the same dimensions as one of the sides of the pyramid
a parallelogram that is not a rectangle
a rectangle

Answer 1

The cross section is going to be a rectangle. It was sliced parallel to its base, so the cross section is going to be the same shape as the base.

Answer 2

The shape of the cross-section shown in the figure, in which a rectangular pyramid was sliced parallel to its base, is a rectangle.

What is trapezoid?

Trapezoid is the closed shaped quadrilateral in which one pair of opposite sides is parallel.

Properties of a trapezoid-

• Trapezoid is a closed shaped quadrilateral which has 4 sides.
• In minimum, one pair of opposite sides is parallel in trapezoid.

A rectangular pyramid was sliced parallel to its base. In this figure, there are,

• A rectangular pyramid.
• The cross-section is a rectangle.

When a pyramid is cut parallel to its base, then the cross-section shape will be the same as the base. If the cross-section is a rectangle, then the trapezoid we get as a result.

Hence, the shape of the cross-section shown in the figure, in which a rectangular pyramid was sliced parallel to its base is a rectangle.

Learn more about the trapezoid here

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