torrestrent5
Answered

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PLEASE HELP 20 points!!!

PLEASE HELP 20 Points class=

Sagot :

XNotCracked
I’m literally doing this homework right now lol.
renknee

Answer:

x = 10 cm

Step-by-step explanation:

The volume of a pyramid is [tex]V = \frac{Bh}{3}[/tex], where V = volume, B = area of base, and h = height.

  • We're given the height as 14 cm
  • We're given the volume as 280 cubic cm
  • We're given one of the dimensions of the rectangle as 6 cm
  • [tex]280= \frac{(14)(6)(x)}{3}[/tex]

Step 1: Multiply both sides by 3.

  • [tex]280*3=\frac{84x}{3} *3[/tex]
  • [tex]840=84x[/tex]

Step 2: Divide both sides by 84.

  • [tex]840/84=84x/84[/tex]
  • [tex]x=10[/tex]

Step 3: Check if solution is correct.

  • 10 * 6 * 14 = 840
  • 840/3 = 280

Therefore, x = 10 cm.

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