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What is the Volume of the square pyramid? (Round to the nearest tenth as needed)

What Is The Volume Of The Square Pyramid Round To The Nearest Tenth As Needed class=

Sagot :

devishri1977

Answer:

5229 mm³

Step-by-step explanation:

Volume of square pyramid

[tex]\sf \boxed{Volume \ of \ the \ square \ pyramid = \dfrac{1}{3}*b^2*H}[/tex]

      b = base length = 25 mm

       H = height

         We have to find 'H' using Pythagorean theorem,

              slant height (hypotenuse) = 28 mm

                                                  leg₁ = base length  ÷ 2 = 25÷2 = 12.5

                                                  leg₂ = H

     H² + (12.5)² = 28²

                  H²   = 784 - 156.25

                         = 627.75

                   [tex]\sf H = \sqrt{627.75}[/tex]

                 H = 25.01 mm

          [tex]\sf \text{Volume of square pyramid =$\dfrac{1}{3}*25*25*25.1$ }[/tex]

                                                     = 5229 mm³

                                                     

       

[tex]\sf \boxed{\text{Volume of square pyramid = \dfrac{1}{3}*25*25*28}}[/tex]

given:

base= 25 mm

height= 28 mm

to find:

the area of the square pyramid.

solution:

[tex]volume = {a}^{2} \frac{h}{3} [/tex]

[tex]v = {25}^{2} \times \frac{28}{3} [/tex]

[tex]v = 5833.33333[/tex]

[tex]v = 5833.3[/tex]

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