Consider the following figure, which shape among them will require more cardboard to make? By how much?
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to find the cardboard, we need to find the total surface area (TSA) of the figures.
a) the given figure is a cuboid
TSA = 2(lh + bh + lb)
= 2[(70 x 60) + (50 x 60) + (50 x 70)
= 2( 4200 + 3000 + 3500)
= 2(10700)
= 21400 m²
b) the given figure is a cube
TSA = 6a²
= 6 x (60)²
= 6 x 3600
= 21600 m²
as 21400 < 21600,
the cardboard used in the second figure is more.
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