If each dimension of a cuboid is increased by 4 times, then the total surface area becomes …………….. times the original area.
A) 4
B) 8
C) 12
D) 16
Correct option is (D) 16
Let \(l,b\;and\;h\) are length, breadth and height of the original cuboid.
After increasing each dimension of cuboid by 4 times,
length of formed cuboid \(=4\,l,\)
breadth of formed cuboid = 4b and
height of formed cuboid = 4h.
\(\therefore\) Total surface area of formed cuboid \(=2\,(4l\times4b+4b\times4h+4h\times4l)\)
\(=32\,(lb+bh+hl)\)
\(=16\times2(lb+bh+hl)\)
\(=16\times\) Total surface area of original cuboid