Quadrilateral 6353

Given is a regular quadrilateral pyramid with a figure of a square. Side = 16 cm, S = 736 cm². Calculate h (body height) and body volume V.

Correct answer:

h =  12.6886 cm
V =  1082.7586 cm3

Step-by-step explanation:

a=16 cm S=736 cm2  S1=a2=162=256 cm2 S2=(SS1)/4=(736256)/4=120 cm2  S2 = a s/2 s=2 S2/a=2 120/16=15 cm  s2 = h2 + (a/2)2 h=s2(a/2)2=152(16/2)2=161=12.6886 cm
V=31 h S1=31 12.6886 256=1082.7586 cm3

Did you find an error or inaccuracy? Feel free to write us. Thank you!

Tips for related online calculators
Tip: Our volume units converter will help you convert volume units.
See also our right triangle calculator.
See also our trigonometric triangle calculator.

You need to know the following knowledge to solve this word math problem:

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

Related math problems and questions: