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The slant height of a pyramid and the altitude of a pyramid are not the same thing?
True, because the slant height and the altitude, or height, of the pyramid form one leg and the hypotenuse of a triangle withing the pyramid, and the hypotenuse of a triangle is always the longest side- it is not possible for the hypotenuse to be equal to the legs of a right triangle. (It is a right triangle because an altitude is perpendicular to the base of a pyramid.)
What is the definition of a uniform cross-section?
A Uniform Cross Section is the cross section of the solid, parallel to base, such that the resulting figure has the same shape and size as that of the base of the figure.More about Uniform Cross SectionSolids like pyramids and cones have slant heights and hence do not have uniform cross section.Examples of Uniform Cross SectionThe uniform cross section of the given prism is a square.The uniform cross section of the given cylinder is a circle.In short to say, uniform cross-section are when you dissect a 3D solid and you get all same shape (uniform).
How do you work out the slant height of a cone?
The slant height is the hypotenuse of the right triangle formed by the height of the cone and the radius of the base. Use the Pythagorean theorem. The Pythagorean theorem (radius)2 + (perp. height)2 = (slant height)2
Which is bigger a pyramids height or its slant height?
Its slant height is bigger. Think of it as a triangle: the hypotenuse is always the largest side, and the slant height is like the hypotenuse.
How do you find the slant height of a cone if you have surface lateral and radius?
Uisng the lateral area and tha radius, you should be able to find the height of the cone. Using the height and radius as the legs of a right triangle, use the Pythagorean Theorem. The hypotenuse is the slant height.
