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2 years ago

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

Mathematics

2 answers:

iris [78.8K]2 years ago

8 0

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.

andreev551 [17]2 years ago

7 0

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.

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Step-by-step explanation:

This means finding the Least Common Multiple for;

108 168 180

We begin by finding the multiples of each number;

Multiples of 108:

108, 216, 324, 432, 540, 648, 756, 864, 972, 1080, 1188, 1296, 1404, 1512, 1620, 1728, 1836, 1944, 2052, 2160, 2268, 2376, 2484, 2592, 2700, 2808, 2916, 3024, 3132, 3240, 3348, 3456, 3564, 3672, 3780, 3888, 3996, 4104, 4212, 4320, 4428, 4536, 4644, 4752, 4860, 4968, 5076, 5184, 5292, 5400, 5508, 5616, 5724, 5832, 5940, 6048, 6156, 6264, 6372, 6480, 6588, 6696, 6804, 6912, 7020, 7128, 7236, 7344, 7452, 7560, 7668, 7776

Multiples of 168:

168, 336, 504, 672, 840, 1008, 1176, 1344, 1512, 1680, 1848, 2016, 2184, 2352, 2520, 2688, 2856, 3024, 3192, 3360, 3528, 3696, 3864, 4032, 4200, 4368, 4536, 4704, 4872, 5040, 5208, 5376, 5544, 5712, 5880, 6048, 6216, 6384, 6552, 6720, 6888, 7056, 7224, 7392, 7560, 7728, 7896

Multiples of 180:

180, 360, 540, 720, 900, 1080, 1260, 1440, 1620, 1800, 1980, 2160, 2340, 2520, 2700, 2880, 3060, 3240, 3420, 3600, 3780, 3960, 4140, 4320, 4500, 4680, 4860, 5040, 5220, 5400, 5580, 5760, 5940, 6120, 6300, 6480, 6660, 6840, 7020, 7200, 7380, 7560, 7740, 7920

The Least Common Multiple for the 3 number is;

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