Calculate the area of the 5 individual triangles that make the pyramid and the area of the pentagonal base and add these six areas together.
Atriangle = 1/3 Base x Height
Apentagon = (Perimeter x Apothem)/2
Apothem = side length/(2Tan(∏/Number of sides))
120
V = (1/3) (area of the base) (height) Area of a pentagon = 1/2 x apothem length x 5 x length of a side of the pentagonthe apothem is the perpendicular distance from the center of the pentagon to the side of the pentagon
Area of the base (length x width) x height of prism
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.
138.48
72 cm square.
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.
The surface area of a pyramid is the area of all the faces of the pyramid, for a pyramid with apex in the centre and a regular polygon as its base, (the bottom of a pyramid is the base, it is regular if all sides are the same length) the surface area is: B + 1/2(P * H) where B is the area of the base, P is the perimeter (area around) the base and H is the height of the pyramid.
PyramidGwill help you to calculate the parameters of the golden section pyramid by the desired height or the length of the base, the ratio of which will be the golden section. You can choose the length of the base of the pyramid or the height of the pyramid as the greater value.PyramidG for Cheops calculates the parameters of the pyramid, which base is the golden section of the Cheops pyramid. The calculation is made by the specified values ​​of the height or the length of the base of the pyramid.
66m height (estimated). The length of each side of the base is about 755 feet.
66m height (estimated). The length of each side of the base is about 755 feet.
Call the length of the base s and the slant height of one triangle l SA = s2 + 2sl