Table of Contents
- 1 What is the formula for the surface area of a triangular pyramid?
- 2 How do you find the slant height of a triangular pyramid?
- 3 How do you find the surface area of a frustum?
- 4 How do you find the length of the slant of a pyramid?
- 5 What is the volume of a square frustum?
- 6 What is the volume of the frustum of a regular triangular pyramid?
What is the formula for the surface area of 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 triangular pyramid?
To determine the slant height of a triangular pyramid, square the length of one of the base triangle sides, then multiply this value by 1/12. The square root of this value plus the pyramid height squared is the slant height.
How do you find the surface area of a frustum?
Answer: The Curved Surface Area (CSA) of the frustum of a cone is: = pi * l(R + r) where the (r) stands for = radius of the smaller circle and (R) stands for = radius of the bigger circle and the (l) = slant height of the frustum.
How do you find the lateral area of a frustum?
Lateral surface area of a conical frustum: S = π * (r1 + r2) * s = π * (r1 + r2) * √((r1 – r2)2 + h2)
What is the area of one of the triangular faces?
To find the area of the triangular faces, use the formula A = 1/2bh, where A = area, b = base, and h = height. Once you have the areas of all sides and faces, you simply add them together to get the surface area.
How do you find the length of the slant of a pyramid?
Slant Height of a square pyramid:
- By the pythagorean theorem we know that.
- s2 = r2 + h.
- since r = a/2.
- s2 = (1/4)a2 + h2, and.
- s = √(h2 + (1/4)a2)
- This is also the height of a triangle side.
What is the volume of a square frustum?
Consider a frustum of radii ‘R’ and ‘r’, and height ‘H’ which is formed by a cone of base radius ‘R’ and height ‘H + h’. Its volume (V) can be calculated by using: V = πh/3 [ (R3 – r3) / r ] (OR)
Lastly, the total surface area of the frustum is the sum of the lateral area and the areas of the two bases. B1 and B2 are the areas of the bases of the frustum. The volume of a frustum of a regular pyramid is equal to one-third of the altitude multiplied by the sum of its bases and the geometric mean between them.
What is the volume of the frustum of a regular triangular pyramid?
The volume of the frustum of a regular triangular pyramid is 135 cu. m. The lower base is an equilateral triangle with an edge of 9 m. The upper base is 8 m above the lower base.
How do you calculate the height of a conical frustum?
Slant height of a conical frustum: s = √((r 1 – r 2) 2 + h 2) Volume of a conical frustum: V = (1/3) * π * h * (r 1 2 + r 2 2 + (r 1 * r 2)) Lateral surface area of a conical frustum: S = π * (r 1 + r 2) * s = π * (r 1 + r 2) * √((r 1 – r 2) 2 + h 2)
What is a frustum of a right circular cone?
What Is a Frustum of a Right Circular Cone? The frustum of a right circular cone is a portion of the cone enclosed by its base, a section that is parallel to the base, and the conical surface included between the base of the cone and the parallel section. A frustum of a circular cone has different parts.