mikalevin
Answered

Discover the answers you need at Westonci.ca, a dynamic Q&A platform where knowledge is shared freely by a community of experts. Join our Q&A platform to connect with experts dedicated to providing precise answers to your questions in different areas. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

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]

Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.