is the area of a three adjacent faces of a cuboid wooden box are 120 CM square 72 CM square and 16 cm square respectively then find the dimension and volume of the box
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Area of three adjacent faces of a cuboidal box
l*b= 120cm2 b*h= 72 cm2 h*l= 60 cm2
l*b=120
l=120/b .. (1)
h*l=60
h=60/l
= 60*b/120
= b/2 ..(2)
b*h=72
b*b/2=72
b2=144
b=12 cm
l=120/b = 120/12 = 10 cm
h= b/2 = 12/2 = 6 cm
Volume of cuboidal box= lbh
= 10*12*6
=720 cm3
l*b= 120cm2 b*h= 72 cm2 h*l= 60 cm2
l*b=120
l=120/b .. (1)
h*l=60
h=60/l
= 60*b/120
= b/2 ..(2)
b*h=72
b*b/2=72
b2=144
b=12 cm
l=120/b = 120/12 = 10 cm
h= b/2 = 12/2 = 6 cm
Volume of cuboidal box= lbh
= 10*12*6
=720 cm3
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