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Mathematics 22 Online
OpenStudy (shaleiah):

@hartnn

OpenStudy (shaleiah):

hartnn (hartnn):

\(\Large V = \dfrac{a^2h}{3}\) here, a = base edge = 48 but you need the height h. and slant height l is given = 26 do you know how to get the height when we know base edge and slant height?

OpenStudy (shaleiah):

Not necessarily

hartnn (hartnn):

use the pythagoras theorem, \(l^2= a^2+h^2\) only h is unknown

OpenStudy (shaleiah):

416?

hartnn (hartnn):

oops, i meant a/2 \(l^2= (a/2)^2+h^2\)

hartnn (hartnn):

nope, try again with new formula a= 48 l = 26

OpenStudy (shaleiah):

1252 :)

hartnn (hartnn):

ah, you're adding the squares..! \(26^2 = 24^2 + h^2 \\ \therefore, h^2= 26^2 - 24^2 = ...?\)

OpenStudy (shaleiah):

100

hartnn (hartnn):

h^2= 100 h =10 now use the formula for volume :)

OpenStudy (shaleiah):

7,680

hartnn (hartnn):

\(\huge \checkmark \)

OpenStudy (shaleiah):

Thank you so much!!

hartnn (hartnn):

welcome ^_^

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