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Why is it helpful to know the slant height of a pyramid to find its surface area?
Wiki User
∙ 11y ago
Knowing the slant height helps because it represents the height of the triangle that makes up each lateral face. So, the slant height helps you to find the surface area of each lateral face.
Wiki User
∙ 11y ago
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Surface area of pryamids and cones?
The surface area of a cone: SA = pi*r² + pi*r*s (r is radius, s is slant height) The surface area of a pyramid: SA = [1/2 * Perimeter * Slant Height] + [Base Area]
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 formula for the surface area of a square pyramid?
Call the length of the base s and the slant height of one triangle l SA = s2 + 2sl
What is the slant height VP in the regular pyramid below?
The answer is given below.
How do you find the slant height of a pyramid with a rectangular base?
If you make a line from the top of the pyramid to the center of the base, you have the height of the pyramid. This meets at the midsegment of a line going across the base. Since the height of a pyramid is perpendicular with the base, get this: the height, a line of 1/2 the length of the base, and the slant height form a right triangle. So, you can use the Pythagorean Theorem! For example, if the base length is 6 and the height of the pyramid is 4, then you can plug them into the Pythagorean Theorem (a squared + b squared = c squared, a and b being the legs of a right triangle and c being the hypotenuse). 1/2 the length of the base would be 6 divided by 2=3. 3 squared + 4 squared = slant height squared. 9+16=slant height squared. 25= slant height squared. Slant height=5 units. You're welcome!
What is the slant height of the pyramid Louvre in Paris?
slant height of the pyramid Louvre in Paris=28 meters
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 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 square pyramid when 4 is the side length and 13 as the slant height?
120
How do you find the surface area of pentagon-based pyramid with a slant height of 9?
There is not enough information to answer the question.
The slant height of a pyramid and the altitude of a pyramid are congurent?
false
What is the slant height of a square pyramid if the height is 24Cm and the base edges are 14Cm?
The slant height will be 25 cm
Surface area of pryamids and cones?
The surface area of a cone: SA = pi*r² + pi*r*s (r is radius, s is slant height) The surface area of a pyramid: SA = [1/2 * Perimeter * Slant Height] + [Base Area]
What is the height of the triangular faces of a pyramid called?
The height of the triangular face of a pyramid is called the slant height.
Is the height of a right pyramid longer than its slant height?
no
What is the surface area of a regular pyramid with side length 8 and slant height 9 the number of the side of the base is given by 3?
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.
What is the slant height of a cone if the surface area is 395.64 square meters?
The surface area is a function of the height (or slant height) and the radius of the base. So, the slant height is a function of the surface area and the base-radius. Since the latter is unknown, the slant height cannot be calculated.
