How to find a sloping edge of a rectangular based pyramid?
The rectangular based has length 4.8m and width 3m and the height of the pyramid is 4m .

Question

Sadie Allen · Accepted Answer

#4.9m#

Determine the center point of the rectangular base:

#1/2# of #3m=1.5m# #1/2# of #4.8m=2.4m#

The crossing point of the two lines= centre point of the rectangle.

This centre point is also the bottom of the perpendicular height of 4m given.

Draw a line from the corner of the rectangle to the centre of the rectangle.

So: In the horizontal right triangle= adjacent side=1.5m and opposite.side=2.4m

With Pythagoras:

#hypotenuse^2=1.5^2+2.4^2#

hypotenuse#=sqrt(1.5^2+2.4^2)#

hypotenuse#:.=sqrt(8.01#

hypotenuse#:.=2.83m# also adjacent side of vertical right angle triangle with Opposite side given#=4m#

So: In the vertical right triangle the hypotenuse = slope of pyramid

#:.Slope^2=2.83^2+4^2#

#:.Slope^2=24.0089^2#

#:.slope=sqrt(24.0089)#

#:.4.9m# slope of the pyramid

Sadie Allen · Answer

undefined To find the sloping edge of a rectangular-based pyramid, you can use the Pythagorean theorem. The sloping edge is the hypotenuse of a right triangle formed by the height of the pyramid and half the diagonal of the base.

1. Find the diagonal of the base using the length and width of the rectangle:
   Diagonal = √(length² + width²)

2. Divide the diagonal by 2 to get half the diagonal.

3. Use the Pythagorean theorem to find the sloping edge:
   Sloping edge = √(half_diagonal² + height²)

How to find a sloping edge of a rectangular based pyramid? The rectangular based has length 4.8m and width 3m and the height of the pyramid is 4m .