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Question

Find the length of a cuboid whose breadth and height are 4 cm and 6 cm respectively and the total surface area is 208 <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> cm2.

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Solution

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 cm2.

=> 2(lb + lh + bh) = 208
=> Lb + hL + bh = 104
=> 4L + 6L + 24 = 104
=> 10L = 80
=> L = 8 cm

Hence, length of the cuboid is 8 cm.

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