vikkbb101
vikkbb101 vikkbb101
  • 22-03-2021
  • Mathematics
contestada

Find the volume of the following square pyramid
slant = 10 cm
base = 12 cm

Respuesta :

taextra
taextra taextra
  • 22-03-2021

Answer:

384

The step-by-step explanation for HEIGHT first:

[tex]h=\sqrt{s^{2} } -(\frac{a}{2}) ^{2}[/tex]

[tex]h=\sqrt{10^{2} } -(\frac{12}{2} )^{2}[/tex]

[tex]h=\sqrt{10^{2} } -6^{2} = \sqrt{64} =[/tex] 8 cm is the height

step-by-step explanation:

v = [tex]\frac{1}{3}[/tex] · b · h

v = [tex]\frac{1}{3}[/tex] ( 12 · 12 ) ( 8 )

v = [tex]\frac{1}{3}[/tex] ( 144 ) ( 8 )

v = 384 cm³

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