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The height of an object given a length of 50 inches.

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Q: Height 50 inches height 50 and h 50 all represent which?
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What is the difference between modal class height and modal height?

The modal height is the value of height which has the largest number of observations. The modal class height is the height for which the class has the greatest number. An example: Heights: 161, 163, 163, 171, 172, 173, 174 Modal height: 163 (2 observations, all others are unique). If the classes are 161-170, 171-180 then modal class height = 171-180 with 4 observations.


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.