dogava6 dogava6
  • 15-03-2020
  • Mathematics
contestada

what is the height of a pyramid with a volume of 448, an edge of 12 and a base length of 8

Respuesta :

iwillanswer iwillanswer
  • 23-03-2020

The height of pyramid is 14 units

Solution:

The volume of rectangular pyramid is given as:

[tex]volume = \frac{1}{3} \times l \times w \times h[/tex]

Where,

l is length and w is width and h is height

From given,

v = 448

l = 8

w = 12

Substituting the values we get,

[tex]448 = \frac{1}{3} \times 8 \times 12 \times h\\\\448 = 32h\\\\h = \frac{448}{32}\\\\h = 14[/tex]

Thus height of pyramid is 14 units

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