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.
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If the VOLUME is 999 SQUARE inches then you have gone wrong. SQUARE inches are a measure of AREA VOLUME is measured in CUBIC units. Assuming you meant The volume of a prism is 999 CUBIC inches, then the volume of a pyramid with the same height is indeterminate (cannot be given), as there is NO INDICATION of how the height of the pyramid relates to the height of the prism. So, ASSUMING you mean the volume of a prism is 999 CUBIC inches AND the HEIGHT of the pyramid is the same as the height of the prism, then the volume of the pyramid is one third that of the prism, ie 999 cu in ÷ 3 = 333 CUBIC inches.
If it is the frustum of a pyramid: The volume of a pyramid (with a square base) is: Length_of_base * Width_of_base * Height * 1/3 To get the volume of the frustum, subtract the volume of the top part (also a pyramid) from the full volume. <><><><> frustum of a cone the formula is (h*pi)/3*(r1^2+r2^2+r1*r2) this is where h = height r1= top radius r2=bottom radius
There are many ways you can find the radius of a cone. The simplest way is to divide the diameter by 2. You can also find the radius of a cone if you know its volume and height. V = (1/3)(π)(r2)(h); V is the volume, π is pi (3.14), r is radius, h is height (3V)/(πh) = r2 r = square root of [(3V)/(πh)] You can also find it if you know the area of the circular base of the cone. A = πr2; A = Area, π = pi (3.14), r = radius r2 = A/π r = square root of (A/π) If you know the height and the slant height (also the hypotenuse) of the cone, then you can find the radius that way. h2 + r2 = z2; h = height, r = radius, z = slant height r2 = z2 - h2 r = square root of (z2 - h2)
A frustum. Specifically, a frustum of a triangular pyramid -- as one could also have a frustum of a cone, square pyramid, etc.
a triangular pyramid has 4 triangular sides