How do you find the surface area of a pyramid with slant height?
The surface area of a square pyramid is the sum of the areas of all its 4 triangular side faces with the base area of the square pyramid. If a, h, and l are the base length, the height of the pyramid, and slant height respectively, then the surface area of the square pyramid = a2+ 2al (or) a2+2a √a24+h2 a 2 4 + h 2 .
How do you find the surface area of a cone with slant height and diameter?
The total surface area of a cone with slant height and diameter of the cone can be found by using the formula, T = π(D/2) ((D/2) + l), where D is the Diameter and l is the slant height.
What is the area of lateral surface of a right pyramid?
To find the lateral area of a square pyramid, find the area of one side face (triangle) and multiply it by 4. If a and l are the base length and the slant height of a square pyramid, then lateral area of the square pyramid = 4 (½ × a × l) = 2al.
What is the total surface area of a right circular cone?
Total surface area of a right circular cone = π(r + l) r. Volume of a right circular cone = 1/3π r2 h.
What is the surface area formula for a triangular pyramid?
The Formula for the surface area of a triangular pyramid is calculated by adding up the area of all triangular faces of a pyramid. The surface area of a right triangular pyramid formula is Base Area+12(Perimeter×Slant Height) Base Area + 1 2 (Perimeter × Slant Height ) .
How do you find the slant height of a right cone?
Slant height of a cone: s = √(r2 + h2)
What is slant height of cone?
The slant height of an object (such as a cone, or pyramid) is the distance along the curved surface, drawn from the edge at the top to a point on the circumference of the circle at the base. The slant height formula helps in the calculation of the slant height in any object.
How to calculate the slant height of a cone?
Slant height of a cone: s = √ (r 2 + h 2) Lateral surface area of a cone: L = π rs = π r√ (r 2 + h 2)
How to calculate the slant height of a square pyramid?
Square Pyramid Formulas derived in terms of side length a and height h: Volume of a square pyramid: V = (1/3)a 2h. Slant Height of a square pyramid: By the pythagorean theorem we know that. s 2 = r 2 + h 2. since r = a/2. s 2 = (1/4)a 2 + h 2, and.
How to calculate the surface area of a cone?
Base surface area of a cone (a circle): B = π r 2 Total surface area of a cone: A = L + B = π rs + π r 2 = π r (s + r) = π r (r + √ (r 2 + h 2))
How to calculate the surface area of a right square pyramid?
Surface area of a right square pyramid = a 2+2a√((a/2) 2+h 2) = 3 2+2×3√((3/2)2+5 2) = 40.3209cm 2.