Space diagonal

The space diagonal of a cube is 129.91 mm. Find the lateral area, surface area, and volume of the cube.

Correct answer:

L =  5625 mm2
S =  33750 mm2
V =  421875 mm3

Step-by-step explanation:

d=129.91 mm  d2 = a2+a2+a2 d2 = 3a2  d = 3 a  a=[d/3]=[129.91/3]=75 mm  L=a2=752=5625 mm2
S=6 L=6 5625=33750 mm2
V=a3=753=421875 mm3



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







Tips for related online calculators
Do you want to convert length units?
Tip: Our volume units converter will help you convert volume units.
See also our right 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   video2

Related math problems and questions: