amouroliviaa amouroliviaa
  • 02-06-2020
  • Mathematics
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A square pyramid has a base with a total area of 144m^2 and a volume of 384m^3, what is the slant height of the pyramid?

A square pyramid has a base with a total area of 144m2 and a volume of 384m3 what is the slant height of the pyramid class=

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abidemiokin
abidemiokin abidemiokin
  • 08-06-2020

Answer:

8m

Step-by-step explanation:

Volume of a square based pyramid = [tex]\frac{1}{3}a^{2}h[/tex] where;

a² is the base area of the pyramid since it is square shaped

h is the slant height.

Given Base area = 144m² and Volume = 384m³, on substituting this values given in the formula we have;

[tex]384 = \frac{1}{3}*144h \\cross\ multiplying\ \\384*3=144h\\h = \frac{384*3}{144} \\h = \frac{1,152}{144}\\ h = 8m[/tex]

The slant height of the pyramid is 8m

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