Ask Question

The lower base of the frustum shown in the figure is a square 8ft on each side. The upper base is a square 4ft on each side. In the altitude is 6ft, find the slant height

A - 4ft

B - 5.66 ft

C - 6 ft

D - 6.32 ft

+5
Answers (1)
  1. 15 March, 09:08
    0
    The answer is D 6.32

    S = the slant Height

    Then we need to get the apothem of the lower and upper base

    S^2 = (apothem of the lower base - apothem of the upper base) ^2 + (height) ^2

    and they would be like this:

    apothem of the lower base = 8 / 2*tan (90/2) = 4

    apothem of the upper base = 4 / 2*tan (90/2) = 2

    S^2 = (4 - 2) ^2 + (6) ^2

    S^2 = 2^2 + 6^2

    S^2 = 4 + 36

    S^2 = 40

    S = 6.32
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “The lower base of the frustum shown in the figure is a square 8ft on each side. The upper base is a square 4ft on each side. In the ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers