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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 cone if the surface area is 395.64 square meters?
The surface area is a function of the height (or slant height) and the radius of the base. So, the slant height is a function of the surface area and the base-radius. Since the latter is unknown, the slant height cannot be calculated.
What is the surface area of a cone with a slant height of 40 and a radius of 20?
A slant height of 20 and base circle radius (r) of 20 gives slant length (s) = 28.284 equation for cone surface area : (pi * r * s) + (pi * r2) = 1777.136 + 1256.637 = 3033.773 units2
Which formulas can be used to find the surface area of a regular pyramid where p is the perimeter of the base s is the slant height BA is the base area and LA is the lateral area Check all that a?
SA=BA + 1/2ps SA=BA + LA
A conical tent of 56m base diameter requires 3080sqm curved surfacefind it's height?
Well, isn't that just a happy little math problem we have here! To find the height of the conical tent, we first need to calculate the slant height using the curved surface area formula: π * base diameter * slant height = curved surface area. So, in this case, the slant height would be 3080 / (π * 56) = approximately 17.5m. Then, we can use the Pythagorean theorem to find the height by considering the radius, slant height, and height as a right triangle. Happy calculating!
What is the surface area of a regular pyramid with side length 8 and slant height 9 the number of the side of the base is given by 3?
Such a pyramid cannot exist. If it is a regular pyramid with side length 8, its slant height MUST be less than 8. In fact, it is approx 6.39.
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
What is the slant height VP in the regular pyramid below?
The answer is given below.
In the equation for the lateral area of a regular pyramid one can replace the slant height with the altitude of the pyramid?
False
How do you find the surface area of a regular pyramid?
Surface Area= 1/2perimeter x slant height + B * * * * * Perimeter = perimeter of base. B = Area of base.
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.
What is the lateral area and surface area of a regular square pyramid?
Lateral area: Twice the side of the square times the slant height. Surface area: The side of the square squared plus twice the side of the square times the slant height. a=side of square b=slant height L.A.=2(ab) S.A.=(a)(a)+(2(ab))
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.
What is the slant height of the pyramid Louvre in Paris?
slant height of the pyramid Louvre in Paris=28 meters
What does L stand for in surface area of pyramid?
In the formula for the surface area of a pyramid, "L" typically stands for the slant height of the pyramid. The slant height is the distance from the apex of the pyramid to the midpoint of a side of the base, measured along a triangular face. It is crucial for calculating the area of the triangular faces that make up the sides of the pyramid.
Why is it helpful to know the slant height of a pyramid to find its surface area?
Knowing the slant height helps because it represents the height of the triangle that makes up each lateral face. So, the slant height helps you to find the surface area of each lateral face.
What is the slant height of a pyramid that has all sides as equilateral triangles with sides of length of 9 cm and the surface area of the pyramid is 140.4 square cm?
The surface area of the pyramid is superfluous to calculating the slant height as the slant height is the height of the triangular side of the pyramid which can be worked out using Pythagoras on the side lengths of the equilateral triangle: side² = height² + (½side)² → height² = side² - ¼side² → height² = (1 - ¼)side² → height² = ¾side² → height = (√3)/2 side → slant height = (√3)/2 × 9cm = 4.5 × √3 cm ≈ 7.8 cm. ---------------------------- However, the surface area can be used as a check: 140.4 cm² ÷ (½ × 9 cm × 7.8 cm) = 140.4 cm² ÷ 35.1 cm² = 4 So the pyramid comprises 4 equilateral triangles - one for the base and 3 for the sides; it is a tetrahedron.
