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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 a regular triangular pyramid with the lateral surface area of 72cm?
It is 288 cm^2.
Is a triangular prism has the same surface area as a pyramid with a triangular base true or false?
False, the prism can be of any length.
How is finding the surface area of rectangular pyramid different from finding the surface area of a triangular prism?
The first comprises one rectangular face and four triangular faces whereas the second has two triangular and three rectangular faces.
What is the formula to calculate the surface area for a triangular pyramid?
SA equals pi times the radius squared
What is the surface area of a triangular pryramid?
Surface area of a triangular pyramid: SA = 1/2 as + 3/2 sl a = altitude of the base triangle s = side of the triangle l = slant height of the pyramid.
What is the surface area of a triangulsr pyramid?
If its a triangular based pyramid (tetrahedron) then it will have 4 equilateral triangle faces and so find the area of one face and multiply it by 4 to give the total surface area.
How do you find the surface area of an equilateral triangular prism?
To find the surface area of an equilateral triangular prism you take the area of the rectangular sides and the triangular bases and add them up and your done.
What is the surface area formula for a triangular pyramid?
The surface area ( S ) of a triangular pyramid (or tetrahedron) can be calculated using the formula ( S = B + \frac{1}{2} P l ), where ( B ) is the area of the triangular base, ( P ) is the perimeter of the base, and ( l ) is the slant height of the triangular faces. Specifically, if the base is an equilateral triangle, the area can be calculated using the formula ( B = \frac{\sqrt{3}}{4} a^2 ), where ( a ) is the length of a side of the base. The surface area will then include the area of the base and the areas of the three triangular faces.
How do you calculate the surface area of an equalaterial trinuglar based prism?
To calculate the surface area of the equilateral triangular-based prism, you need to calculate the area of the equilateral triangle and all the other sides of the prism. The total area of all the phases will give the total surface are of an equilateral triangular based prism.
Does a pyramid have a flat surface?
a pyramid with a triangular base has 4 faces. a pyramid with a square base has 5 faces.
What is the surface area of this triangular pyramid?
It is the sum of the areas of its four faces.
What are faces of a triangular pyramid?
The faces are the flat, triangle-shaped surfaces that make up the surface of the pyramid. A pyramid has four faces.
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 a regular triangular pyramid with the lateral surface area of 72cm?
It is 288 cm^2.
How do you you find the surface area of a equilateral triangular prism?
you calculate the area of one side, then multiply it by three.
Is a triangular prism has the same surface area as a pyramid with a triangular base true or false?
False, the prism can be of any length.
