Find the cost of painting a box in the shape of cuboid of dimensions 20cm × 15 cm × 10 cm at the rate of ₹5 per square centimeter.

₹6500

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₹4500

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₹5500

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₹3500

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Solution

The correct option is A ₹6500
Give
Length of box $(l)$ = 20 cm
Breadth of box $(b)$ = 15 cm
Height of box $(h)$ = 10 cm
Total surface area of cuboid
= 2(lb + bh +hl)
= $2 (20 \times 15 + 15 \times 10 + 10 \times 20)$
= 2(300 +150 +200)
= 2(650)
= 1300 $c m^{2}$
Painting is done at the rate of ₹5 per square centimeter
$∴$ Total cost to paint = $1300 \times 5$
= ₹6500

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