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If you make a line from the top of the pyramid to the center of the base, you have the height of the pyramid. This meets at the midsegment of a line going across the base. Since the height of a pyramid is perpendicular with the base, get this:
the height, a line of 1/2 the length of the base, and the slant height form a right triangle. So, you can use the Pythagorean Theorem! For example, if the base length is 6 and the height of the pyramid is 4, then you can plug them into the Pythagorean Theorem (a squared + b squared = c squared, a and b being the legs of a right triangle and c being the hypotenuse). 1/2 the length of the base would be 6 divided by 2=3. 3 squared + 4 squared = slant height squared. 9+16=slant height squared. 25= slant height squared. Slant height=5 units. You're welcome!
What else can I help you with?
What is the slant height of a square pyramid?
The slant height of a square pyramid is always perpendicular to the base. It is form the top vertex all the way down to the most center of one side of the base edge.
If pyramid base edge is 3cm what is slant height?
Depends on the angle between the side and the base. The smaller the angle the larger the height.
The square base of pyramid has a side length of 230 m and the sides of the Pyramid meet the base at an angle which measuresapproximately 60 What is the sum of the height and slant height?
429 m
What would be the formula for the lateral area of a regular pyramid where the base is a square with perimeter p and s is the slant height?
LA = 1/2psnewtest3
What is the formula for the surface area of a square pyramid?
Call the length of the base s and the slant height of one triangle l SA = s2 + 2sl
Is the lateral edge of a pyramid is also its slant height?
No, the slant height is the from the top vertex to the base of the base of the pyramid, it forms a 90 degree angle with the base and slant height. The lateral edge is literally the lateral (side) edge.
What is the slant height of a square pyramid if the height is 24Cm and the base edges are 14Cm?
The slant height will be 25 cm
When you see a picture of a right pyramid with a regular polygon base how do you identify its height and its slant height?
Its vertical height is that of the perpendicular from the centre of the base to the apex; the slant height is the length of the sloping "corner" between two faces. The height of a regular pyramid is the vertical distance from the center of base to the top and is usually shown with a line perpendicular to the base, denoted with a right angle to the base. The slant height it the height of the lateral face (the triangles) from the edge of the base to the top of the pyramid. It is the height of the triangle, not the pyramid itself. The slant height will also be the hypotenuse of a right angle formed from the altitude of the pyramid and the distance from the center of the base to the edge.
How do you find the slant height to a square base pyramid?
To find the slant height of a square base pyramid, you can use the Pythagorean theorem. First, determine the height (h) of the pyramid and half the length of a side of the square base (s/2). The slant height (l) can then be calculated using the formula ( l = \sqrt{h^2 + (s/2)^2} ), where ( s ) is the length of one side of the square base. This gives you the length of the slant height from the apex of the pyramid to the midpoint of a side of the base.
The volume of a regular pyramid with a square base of 8cm and a slant height of 5 cm?
The volume of a regular pyramid with a square base of 8cm and a slant height of 5 cm is: 64 cm3
A pyramid has a square base with sides 8 and a slant height of 5?
This pyramid would have a perpendicular height of 3, a volume of 64 units3 and a slant edge of 6.403
Lsa of pyramid?
1/2*perimetre of base*slant height
What is the slant height of a square pyramid?
The slant height of a square pyramid is always perpendicular to the base. It is form the top vertex all the way down to the most center of one side of the base edge.
Is The slant height of a regular square pyramid is longer than its altitude?
Yes, the slant height of a regular square pyramid is longer than its altitude. The altitude is the perpendicular height from the apex to the center of the base, while the slant height is the distance from the apex to the midpoint of a side of the base. In a right triangle formed by the altitude, half the base side, and the slant height, the slant height serves as the hypotenuse, making it inherently longer than the altitude.
Where can you find the height of a rectangular pyramid?
we can find the height of a rectangular pyramids located at the top of the base
Why the slant height of a regular square pyramid must be greater than the base edge length?
The slant height of a regular square pyramid is the distance from the apex to the midpoint of a base edge, forming a right triangle with half the base edge and the vertical height of the pyramid. Since the slant height is the hypotenuse of this triangle, it must be greater than either leg due to the Pythagorean theorem. Therefore, the slant height must be greater than the base edge length, ensuring that the apex is above the base.
What is the height if each lateral face of a pyramid?
The height of each lateral face of a pyramid, often referred to as the slant height, is the distance from the apex (top point) of the pyramid to the midpoint of the base edge of that face. This measurement is crucial for calculating the surface area of the pyramid's lateral faces. The slant height can be determined using the Pythagorean theorem if the vertical height of the pyramid and half the base edge length are known. It is important to differentiate between the vertical height and the slant height when discussing pyramids.
