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))
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
120
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
The lateral surface area of a square pyramid can be calculated using the formula: ( \text{Lateral Area} = 2 \times \text{base length} \times \text{slant height} ). Here, the base length refers to the length of one side of the square base, and the slant height is the height of the triangular face from the base to the apex of the pyramid. To find the total lateral area, simply plug in the values for the base length and slant height into the formula.
72 cm square.
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.
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.
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.
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.