Total surface area of a box of cuboid shape is 500 sq.unit. Its breadt

1.	Total surface area of a box of cuboid shape is 500 sq.unit. Its breadth and height is 6 unit and 5 unit respectively. What is the length of that box?
Answer» Given: For cuboid shape box, breadth (b) = 6 unit, height (h) = 5 unit Total surface area = 500 sq. unit. To find: Length of the box (l) Solution: Total surface area of the box = 2 (lb + bh + lh) ∴ 500 = 2 (6l + 6 x 5 + 5l) ∴ \(\frac{500}{2}\) = (11l + 30) ∴ 250 = 11l + 30 ∴ 250 – 30= 11l ∴ 220 = 11l ∴ 220 = l ∴\(\frac{220}{11}\) = l ∴ l = 20 units ∴ The length of the box is 20 units.

Total surface area of a box of cuboid shape is 500 sq.unit. Its breadth and height is 6 unit and 5 unit respectively. What is the length of that box?

Answer»

Given: For cuboid shape box,

breadth (b) = 6 unit, height (h) = 5 unit Total surface area = 500 sq. unit.

To find: Length of the box (l)

Solution:

Total surface area of the box = 2 (lb + bh + lh)

∴ 500 = 2 (6l + 6 x 5 + 5l)

∴ \(\frac{500}{2}\) = (11l + 30)

∴ 250 = 11l + 30

∴ 250 – 30= 11l

∴ 220 = 11l

∴ 220 = l

∴\(\frac{220}{11}\) = l

∴ l = 20 units

∴ The length of the box is 20 units.