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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

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प्रश्न

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 ?

योग
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उत्तर

Let the length of the box be l unit.

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`

⇒ 6l + 30 + 5l = 250

⇒ 11 l = 250 - 30

⇒ 11 l = 220

⇒ l = `220/11`

⇒ l = 20 units

Thus, the length of the box is 20 units.

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अध्याय 9: Surface Area and Volume - Practice Set 9.1 [पृष्ठ ११५]

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बालभारती Mathematics 2 [English] Standard 9 Maharashtra State Board
अध्याय 9 Surface Area and Volume
Practice Set 9.1 | Q 2. | पृष्ठ ११५

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