Space diagonal

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

Correct result:

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

Solution:

d=129.91 mm  d2=a2+a2+a2 d2=3a2  d=3a  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



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