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Box with square base of side 50 cm has volume 15000cm^3. What is the surface area of the box?
options are:-  a) 5600sqcm
                      b)3000sqcm
                      c)2000sqcm
                      d)4500sqcm. 

















  

Dear Student,

Please find bellow the solution to the asked query :

Length of the box = l = 50 cmbreadth of the box = b = 50 cmLet the height of the box be h.Now, volume of the box = 15000 cm3⇒lbh = 15000⇒50×50×h = 15000⇒h = 150002500 = 6So, surface area = 2lb+bh+hl=250×50+50×6+6×50=22500+300+300=6200 cm2

Hope this would clear your doubt.

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View Full Answer
As the base is square,
length = 50 cm
breadth = 50 cm
height = ?

Volume = L*B*H
50*50*H = 15000
H = 15000/2500
H = 6 cm

Surface Area = 2 (L*B + B*H + H*L)
= 2 (50*50 + 50*6 + 6*50)
= 2 (2500 + 300 + 300)
= 2 * 3100
= 6200 cm2
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