Question

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

Answer 1

given:

base= 25 mm

height= 28 mm

to find:

the area of the square pyramid.

solution:

$volume = {a}^{2} \frac{h}{3}$

$v = {25}^{2} \times \frac{28}{3}$

$v = 5833.33333$

$v = 5833.3$

Answer 2

Answer:

5229 mm³

Step-by-step explanation:

Volume of square pyramid

$\sf \boxed{Volume \ of \ the \ square \ pyramid = \dfrac{1}{3}*b^2*H}$

      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

                   $\sf H = \sqrt{627.75}$

                 H = 25.01 mm

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

                                                     = 5229 mm³

                                                     

       

$\sf \boxed{\text{Volume of square pyramid = \dfrac{1}{3}*25*25*28}}$