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A cuboid is a box-shaped object. It has six sides and all are perpendicular
Formula for volume is:
V=a*b*c
Formula for a surface area is:
A=2*(ab+bc+ac)
We start writting down given information:
V=40cm^3
A=100cm^2
a=2cm
Now we insert this information into formulas:
40=2*b*c
100=2*(2b+bc+2c)
Now we divide both equations by 2:
20=bc
50=2b+bc+2c
We solve first equation for b and insert it into second equation:
b=20/c
50=2*20/c+20/c*c+2c
Now we solve for c:
50=40/c+20+2c
30=40/c+2c
30c-40-2c^2=0
2c^2-30c+40=0
c^2-15c+20=0
c1=13,52
c2=1,48
We got two solutions for c so we will get two solutions for b:
b1=1,48
b2=13,52
Now we know:
a=2cm
b=1,48cm
c=13,52cm
Formula for a diagonal is:
Formula for volume is:
V=a*b*c
Formula for a surface area is:
A=2*(ab+bc+ac)
We start writting down given information:
V=40cm^3
A=100cm^2
a=2cm
Now we insert this information into formulas:
40=2*b*c
100=2*(2b+bc+2c)
Now we divide both equations by 2:
20=bc
50=2b+bc+2c
We solve first equation for b and insert it into second equation:
b=20/c
50=2*20/c+20/c*c+2c
Now we solve for c:
50=40/c+20+2c
30=40/c+2c
30c-40-2c^2=0
2c^2-30c+40=0
c^2-15c+20=0
c1=13,52
c2=1,48
We got two solutions for c so we will get two solutions for b:
b1=1,48
b2=13,52
Now we know:
a=2cm
b=1,48cm
c=13,52cm
Formula for a diagonal is: