460 cm2 of metal sheet is needed to make a closed box of length 12 cm and height 5 cm. The breadth of the box is : 1. 10 cm 2. 12 cm 3. 14 cm 4. 16 cm

Question

KnowledgeBoat · Accepted Answer

Given,

Length(l) = 12 cm

Height(h) = 5 cm

Total surface area of sheet required to make a closed box = 460 cm²

Let breadth of the box be b cm.

Calculating the breadth of the box,

Total surface area = 2(lb + bh + hl)

⇒ 460 = 2(12 × b + b × 5 + 5 × 12)

⇒ 460 = 2(12b + 5b + 60)

⇒ 460 = 2(17b + 60)

⇒ 17b + 60 = $\dfrac{460}{2}$

⇒ 17b + 60 = 230

⇒ 17b = 230 - 60

⇒ 17b = 170

⇒ b = $\dfrac{170}{17}$ = 10 cm.

Hence, option 1 is the correct option.

Mathematics

460 cm² of metal sheet is needed to make a closed box of length 12 cm and height 5 cm. The breadth of the box is :
10 cm
12 cm
14 cm
16 cm

Mensuration

Answer

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460 cm2 of metal sheet is needed to make a closed box of length 12 cm and height 5 cm. The breadth of the box is :10 cm12 cm14 cm16 cm

Mensuration

Answer

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250 m²
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