Question

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Answer 1

Given:-

• Ratio of Length , breadth & Height of cuboid is = 6:5:4
• Total surface area of cuboid = 33,300 cm².

To Find :-

• Breadth of cuboid .

Let,

➝ Length be of cuboid = 6x

➝ Breadth = 5x

➝ Height = 4x

✿Using Formula.

$\boxed{\underline{\tt{\red{\:Area_{cuboid}\:=\:2(LB+BH+HL)}}}}$

where,

• L = Length
• B = Breadth
• H = Height

keep value,

➠ Total surface area if cuboid = 2(6x + 5x + 4x)

➠ 33,300 = 2(15x)

➠ 30x = 33,300

➠ x = 33,300/30

➠ x = 3330/3

➠ x = 1110

Since

➠ Length of cuboid = 6x

➠ Length of cuboid = 6×1110

➠ Length of cuboid = 6,660 cm

And,

➠ Breadth of cuboid = 5x

➠ Breadth of cuboid = 5×1,110

➠ Breadth of cuboid = 5,550 cm

And

➠ Height of cuboid = 4x

➠ Height of cuboid = 4×1,110

➠ Height of cuboid = 4,440 cm

Hence,

Breadth of cuboid will be = 5,550 cm

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