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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.

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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 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 a square pyramid?

The slant height of a square pyramid is always perpendicular to the base. It is form the top vertex all the way down to the most center of one side of the base edge.

Related Questions

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


Is the height of a right pyramid longer than its slant height?

no


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.


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 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.


Is the lateral edge of a pyramid is also its slant height?

No, the slant height is the from the top vertex to the base of the base of the pyramid, it forms a 90 degree angle with the base and slant height. The lateral edge is literally the lateral (side) edge.