Regular quadrilateral pyramid

Find the volume and surface of a regular quadrilateral pyramid if the bottom edge is 45 cm long and the pyramid height is 7 cm.

Correct answer:

V =  4725 cm3
S =  4145.7369 cm2

Step-by-step explanation:

a=45 cm h=7 cm S1=a2=452=2025 cm2 V=S1 h/3=2025 7/3=4725 cm3
h2=h2+(a/2)2=72+(45/2)223.5637 cm S2=a h2/2=45 23.5637/2530.1842 cm2 S=S1+4 S2=2025+4 530.1842=4145.7369 cm2

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Tip: Our volume units converter will help you with the conversion of volume units.
Pythagorean theorem is the base for the right triangle calculator.
See also our trigonometric triangle calculator.

We encourage you to watch this tutorial video on this math problem: video1   video2

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