Answered

Westonci.ca is the premier destination for reliable answers to your questions, provided by a community of experts. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

A regular hexagonal pyramid whose base perimeter is 60cm has an altitude of 30cm. The volume of the pyramid is??

Sagot :

Lilith
[tex]altitude : \ H= 30 \ cm\\ \\ base \ perimeter = 60 \ cm\\ \\ P=6s \\ \\60=6s \ \ /:6\\ \\s=10 \ cm \\ \\[/tex]

[tex]Volume \ of \ a \ regular \ hexagonal \ pyramid \ is \ given \ by \\ \\ V = \frac{\sqrt{3}}{2}\cdot s^2\cdot h \\ where \ s \ is \ the \ side \ length \ of \ the \ hexagon \\ h \ is \ its \ height \\ \\ V=\frac{\sqrt{3}}{2}\cdot 10^2\cdot 30 = \sqrt{3}\cdot 100\cdot 15 =1500\sqrt{3} \ cm^3[/tex]


Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.