Question

What two-dimensional figure will result from slicing this rectangular pyramid parallel to the base?

Answer 1

By slicing this rectangular pyramid parallel to the base the result in two-dimensions is a $\boxed{{\text{Trapezoid}}}$. Option (D) is correct.

Further Explanation:

Given:

The options are as follows,

(A). Rectangle

(B). Equilateral triangle

(C). Isosceles triangle

(D). Trapezoid

Explanation:

Consider the given pyramid as PQRST.

The base of the pyramid is in the shape of rectangle.

The base of the pyramid is QRST.

If we slice the rectangular pyramid parallel to the base than the two dimension figure will result in a trapezoid.

By slicing this rectangular pyramid parallel to the base the result in two-dimensions is a $\boxed{{\text{Trapezoid}}}$. Option (D) is correct.

Option (A) is not correct.

Option (B) is not correct.

Option (C) is not correct.

Option (D) is correct.

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Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Two Dimensions

Keywords: Trapezoid, Rectangle, Equilateral triangle, Isosceles triangle, triangle, scalene triangle, right angle, rectangular pyramid, parallel, base, slicing, two-dimensional, dimensions, figure.

Answer 2

Answer: The answer is D. Trapezoid.    

Step-by-step explanation:  As shown in the attached figure, a rectangular pyramid  ABCDE is drawn. We are slicing this rectangular pyramid parallel to the base BCDE at the points F, G, H and I.

We can clearly see from the figure that upper half of the sliced figure will be similar to the pyramid BCDE and the lower sliced figure will be a trapezoid. These are the three-dimensional figures.

Also, the sliced two-dimensional figure FGHI will be a rectangle, because

the pyramid is a rectangular one and so,  FI=GH, FG=HI and all the angles are right angles.

Thus, the resulting two-dimensional figure will be a rectagle.