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Question

# A girl painted the outside of the cuboid shaped cabinet of measure 2 m × 3 m × 2.5 m. How much surface area did she cover if she painted all except the bottom of the cabinet?

A
41 m²
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B
42 m²
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C
32 m²
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D
31 m²
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Solution

## The correct option is D 31 m²The surface area of the bottom of the cuboid will be subtracted from the total surface area of the cabinet. From the given figure, Length 'l' of the cabinet = 2 m Breadth 'b' of the cabinet = 3 m Height 'h' of the cabinet = 2.5 m Area of the bottom of cabinet = l × b Since the cabinet is cuboidal in shape, Total surface area of the cabinet = 2(l × b + b × h + h × l) Area of the cabinet that was painted = (Total surface area of the cabinet) - (Area of bottom of the cabinet) = 2(l × b + b × h + h × l) − l × b = 2(b × h + h × l) + l × b = 2 × (3 × 2.5 + 2.5 × 2) + 2 × 3 m² = 2 × 12.5 + 6 m² = 31 m² Therefore the area of the cabinet that was painted is 31 m².

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