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What is the total surface area of a square pyramid with an apothem of 8 and a height of 8.54 and the squares length and width of 6?
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∙ 11y ago
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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.
What is the surface area of the right square pyramid in square meters?
It depends on the dimensions of the base and the height (slant or vertical) of the pyramid.
What is the surface area of a square pyramid when 4 is the side length and 13 as the slant height?
120
How do you calculate the area of a pyramid?
Base times Height divided by three. The base is perpendicular to the height, which ends at the highest point of the pyramid. To find the area of the base, one simply uses 2-dimensional geometry. Triangle: Base of triangle times height of triangle over 2 Any regular polygon: Apothem (perpendicular distance from orthocenter to a side) times perimeter divided by 2.
The pyramid shown has a square base that is 1818 inches on each side. The slant height is 1616 inches. What is the surface area of the pyramid?
It is 9180900 square inches.
How do you find the slant height of a 6 sided pyramid?
if you know the height and the apothem, use pythagorean theorem to solve for it.
How do you find the surface area of a pentagon based pyramid with slant height of 11 meters and a side length of 3 meters?
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))
What is the surface area of a pyramid with the base of 6 and the height of 8?
144
How do you calculate the volume of a pentagonal pyramid?
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
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.
What is the surface area of the right square pyramid in square meters?
It depends on the dimensions of the base and the height (slant or vertical) of the pyramid.
How do you work out the trigonometry of a rectangular based pyramid?
The answer depends on what you wish to work out: the angles, height, surface area, volume. Also, you need more information: the vertical or inclined height and whether or not the pyramid is a right pyramid.
How do you find sa for a hexagonal based pyramid?
SA = 3as + 3sl a = apothem length (length from center of base to center of one of the edges). s = length of a side l = slant height
What is the surface area of a square that's height is 12m?
Squares do not have a surface area. They simply have an area. This square's area is 144m^2
What is the formula to find the area of pyramid?
It has to do with the surface area formula: To find the total surface area of a pyramid, use this equation: Surface Area = B + 1/2 * P * s B = base area P = perimeter of the base s = slant height To find the volume of a Pyramid, substitute into this equation: V=1/3Bh B=base area h=height of pyramid
What is the mathematical formula for calculating the surface area of a truncated pyramid?
To calculate the surface area of a truncated pyramid, you first take the surface area of each side. That would be the base time the straight height. If it is a 4 side pyramid with equivelant sides, multiply that answer by 4.
What is the surface area of a square pyramid when 4 is the side length and 13 as the slant height?
120
