Respuesta :
The answer is the volume of Pyramid B will be 60 cubic units.
Height of Pyramid [tex]$\mathbf{A}$[/tex] and Pyramid [tex]$\mathbf{B}$[/tex] are given which is as [tex]$\mathrm{h}_{\mathrm{a}}=4$[/tex] units and [tex]$h_{x}=12$[/tex] units respectively
[tex]\mathrm{S}_{\mathrm{a}} and $\mathrm{S}_{\mathrm{x}}$[/tex] are base of Pyramid [tex]$\mathbf{A}$[/tex] and Pyramid [tex]$\mathbf{B}$[/tex] respectively which are equal i.e [tex]$\mathrm{S}_{\mathrm{a}}=\mathrm{S}_{\mathrm{x}}$[/tex]
The volume of the pyramid is given by [tex]$1 / 3(\mathrm{Sh}) ; \mathrm{S}=$[/tex] base of pyramid and [tex]$\mathrm{h}=$[/tex] height of the pyramid
- Given
[tex]$\mathrm{h}_{\mathrm{a}}=4$[/tex] units
[tex]$h_{x}=12$[/tex] units [tex]$=3 h_{a}$[/tex]
[tex]$\mathrm{S}_{\mathrm{a}}=\mathrm{S}_{\mathrm{x}}$[/tex]
The volume of pyramid [tex]$\mathbf{A}=1 / 3\left(\mathrm{~S}_{a} h_{a}\right)=20$[/tex]cubic units
The volume of pyramid [tex]$\mathbf{B}=1 / 3\left(\mathrm{~S}_{\mathrm{x}} h_{\mathrm{x}}\right)=1 / 3\left(\mathrm{~S}_{\mathrm{a}}\times3 \mathrm{~h}_{\mathrm{a}}\right)=3\times\mathrm{~V}_{\mathrm{a}}=3\times 20=60$[/tex] cubic units
What is the pyramid?
- A three-dimensional structure with a polygon at its base is referred to as a pyramid. You must be familiar with
- This construction has a characteristic shape since each corner is connected .
To learn more about pyramids visit:
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