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It is 125 square units.

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Q: What is the surface area of a pyramid with area of the base 20 slant height 7 and perimeter of the base 30?
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What is the formula for surface area of a pyramid?

Total surface area= 1/2 times the perimeter of the base times the slant height plus the area of the base Lateral surface area= 1/2 times the perimeter times the slant height


Surface area of a pyramid?

(1/2 B)h another way is Lateral area + base area. Lateral area is 1/2 perimeter*slant height. You use this if you dont know the height but know the slant. or if you just like to do it this way


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.

Related questions

How do you find the surface area of a regular pyramid?

Surface Area= 1/2perimeter x slant height + B * * * * * Perimeter = perimeter of base. B = Area of base.


What is the formula for surface area of a pyramid?

Total surface area= 1/2 times the perimeter of the base times the slant height plus the area of the base Lateral surface area= 1/2 times the perimeter times the slant height


What is the surface area of a square pyramid?

It is the lateral area (which is 1/2 the perimeter multiplied by the slant height), plus the area of the base.


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]


How to find the surface area of a triangular based pyramid?

Surface area of any pyramid is 1/2Pl + B; where P=perimeter of the base, l=slant height and B= Area of the base.


What is the surface area formula for a pyramid?

one half of the perimeter of the base times the slant height plus the area of the base or: 1/2Pl + B


Area of pyramid without height?

Surface Area = B + 1/2 * P * sB = base areaP = perimeter of the bases = slant height (meaning the lenght of a corner to the top)


What is the lateral area of a pyramid?

1/2 times the perimeter of the base times slant height


How do you find the lateral area of a triangular pyramid with the perimeter and slant height?

LA=1/2ps


Surface area of a pyramid?

(1/2 B)h another way is Lateral area + base area. Lateral area is 1/2 perimeter*slant height. You use this if you dont know the height but know the slant. or if you just like to do it this way


What is the slant height of the pyramid Louvre in Paris?

slant height of the pyramid Louvre in Paris=28 meters


Why is it helpful to know the slant height of a pyramid to find its surface area?

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.