16. The total surface area of a cubical
box is 750 m².
The length of its each
edge is *
5 cm
25 cm
125 cm
none of these
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Answer:
Step-by-step explanation:
(i)Cube:
Total surface area = 6l2=6×102 = 6×100=600m2
Cuboid:
Total surface area = 2(lb + bh + lh)
= 2[(12.5×10)+(10×8)+(8×12.5)]
= 2[125+80+100]
= 610m2
If each edge of the cube is doubled, then,
l = 20
b =25
h =16
Then, Cube's Total surface area = 6l2
= 6 x 202
= 6 x 400
= 2400m2
Cuboid:-Total surface area when each side is doubled = 2(lb+bh+lh)
= 2[(25 x 20) + (20 x 16) + (16 x 25)]
= 2[500+320+400]= 2[1220]
= 2440m2
Thus, If each edge of the cube and cuboid is doubled, then its T.S.A will increase 4 times.
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