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Find the height of each pyramid.

Find The Height Of Each Pyramid class=

Sagot :

cygnusabc00

Answer:

a) height =14in

b) height =27cm

Step-by-step explanation:

Greetings !

a)

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

where,

  • v=448in³
  • w=12in
  • l=8in

Substitute these values and solve for h.

[tex]h = 3 \frac{v}{lw} \\ h = 3. \frac{448}{8.12} = 14[/tex]

b)

[tex]v = \frac{1}{3} ah[/tex]

where, a=area of the base

  • h= height

plug in the given values and solve for h

[tex]v = \frac{1}{3} ah \\ 3v = ah \\ h = \frac{3v}{a} \\ h = \frac{3(270)}{30} \\ h = 27cm[/tex]

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