# 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 ? - Geometry

Sum

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 ?

#### Solution

Let the length of the box be l units.
Breadth of the box, b = 6 units
Height of the box, h = 5 units

Total surface area of the box = 500 square units
∴ 2(lb+ bh + hl) = 500 square units
⇒ l x 6 + 6 x 5 + 5 x l = 500/2 = 250

⇒ 6l + 30 + 5l = 250

⇒ 11l = 250 - 30 = 220

⇒ l = 220/11 = 20 units
Thus, the length of the box is 20 units.

Concept: Surface Area of a Cuboid
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#### APPEARS IN

Balbharati Mathematics 2 Geometry 9th Standard Maharashtra State Board
Chapter 9 Surface Area and Volume
Practice Set 9.1 | Q 2 | Page 115
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