An online calculator [see Link below] gives me:
Lateral Area (total area of the triangular sides) = 137.75 cm2
Total surface area including base of 25 cm2 = 162.75 cm2
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.
Call the length of the base s and the slant height of one triangle l SA = s2 + 2sl
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.
A pyramid with these measurements are technically impossible to construct. However if you follow the formula the surface area would be a negative amount.
429 m
It depends on the dimensions of the base and the height (slant or vertical) of the pyramid.
120
Lateral area: Twice the side of the square times the slant height. Surface area: The side of the square squared plus twice the side of the square times the slant height. a=side of square b=slant height L.A.=2(ab) S.A.=(a)(a)+(2(ab))
It is 9180900 square inches.
The slant height will be 25 cm
72 cm square.
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.
The volume of a regular pyramid with a square base of 8cm and a slant height of 5 cm is: 64 cm3
This pyramid would have a perpendicular height of 3, a volume of 64 units3 and a slant edge of 6.403
It is the lateral area (which is 1/2 the perimeter multiplied by the slant height), plus the area of the base.
It is 125 square units.
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.