The sum of the length, breadth and height of a cuboid is 19 cm and the length of its space diagonal is 11 cm. Find its total surface area in cm².

Question

Accepted Answer

240. (l + b + h)² = l² + b² + h² + 2(lb + bh + hl). Here 19² = 11² + TSA, since l² + b² + h² = 11² from the diagonal and 2(lb + bh + hl) is the total surface area. So TSA = 361 − 121 = 240 cm².

The sum of the length, breadth and height of a cuboid is 19 cm and the length of its space diagonal is 11 cm. Find its total surface area in $cm^{2}$ .

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More Areas & Volumes practice

The sum of the length, breadth and height of a cuboid is 19 cm and the length of its space diagonal is 11 cm. Find its total surface area in cm2.

Step-by-Step Solution

Master this topic in 30 minutes a day.

More Areas & Volumes practice

The sum of the length, breadth and height of a cuboid is 19 cm and the length of its space diagonal is 11 cm. Find its total surface area in $cm^{2}$ .