A cuboid has total surface area of 372 cm2 and its lateral surface are

1.	A cuboid has total surface area of 372 cm2 and its lateral surface area is 180 cm2, find the area of its base.
Answer» Given, Total surface area of cuboid = 372 cm² Lateral surface area = 180 cm² = 2(l + b) h = 180 = lh + bh = \(\cfrac{180}2\) = 90………………(i) And , = 2(lb + bh + hl) = 372 = lb + bh + hl = \(\cfrac{372}2\) = 186………………(ii) Putting value of lh + bh from equation (i) to (ii) = lb + 90 = 186 = lb = 186 - 90 = 96 =l × b = area of base = 96 cm²

A cuboid has total surface area of 372 cm2 and its lateral surface area is 180 cm2, find the area of its base.

Answer»

Given,

Total surface area of cuboid = 372 cm²

Lateral surface area = 180 cm²

= 2(l + b) h = 180

= lh + bh = \(\cfrac{180}2\) = 90………………(i)

And , = 2(lb + bh + hl) = 372

= lb + bh + hl = \(\cfrac{372}2\) = 186………………(ii)

Putting value of lh + bh from equation (i) to (ii)

= lb + 90 = 186

= lb = 186 - 90 = 96

=l × b = area of base = 96 cm²