Question

The length of a cuboid with breadth and height 4 cm and 6 cm respectively and total surface area as 208 $c{m}^2$ is.

• A. 10 cm
• B. 4 cm
• C. 6 cm
• D. 8 cm

Answer 1

The correct option is D 8 cm

Total surface area of a cuboid is given by 2(lb + lh + bh)
where l, b and h represent length, breadth and height of the cuboid repectively.
Since area is equal to 208 $c{m}^2$
2(lb + lh + bh) = 208
lb + lh + bh = 104
4l + 6l + 24 = 104
10l = 80
l = 8 cm