Question

Length breadth and height of a cuboid are in the ratio 6 ratio 4 ratio 5 if total surface area of cuboid is 2368 CM square find its dimensions.​

Answer 1

Solution

Given :-

• Length breadth and height of a cuboid are in the ratio 6 ratio 4 ratio 5 .
• ttal surface area of cuboid is 2368 CM

Find :-

• Dimensions of cuboid

Explanation

Using Formula

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

So, Let

• Length is = 6x = L
• Breadth is = 4x = B
• Height us = 5x = H

Then, calculate TSA of cuboid

==> 2(LB + BH + HL) = 2368

==> 2[(6x × 4x)+(4x × 5x)+(5x × 6x)] = 2368

==> `(24x² + 20x² + 30x²) = 2368/2

==> 74x² = 1184

==> x² = 1184/74

==> x² = 592/37

==> x² = 16

==> x = √16

==> x = 4

Hence

Dimensions of cuboid will be

• first dimensions be = 6x = 6×4 = 24cm
• Second dimensions be= 4x = 4×4 = 16vm
• Third. dimensions be= 5x = 5×4 = 20cm

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Answer 2

Step-by-step explanation:

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Solution

Given :-

Length breadth and height of a cuboid are in the ratio 6 ratio 4 ratio 5 .

ttal surface area of cuboid is 2368 CM

Find :-

Dimensions of cuboid

Explanation

Using Formula

=(2(LB+BH+HL)

So, Let

Length is = 6x = L

Breadth is = 4x = B

Height us = 5x = H

Then, calculate TSA of cuboid

==> 2(LB + BH + HL) = 2368

==> 2[(6x × 4x)+(4x × 5x)+(5x × 6x)] = 2368

==> `(24x² + 20x² + 30x²) = 2368/2

==> 74x² = 1184

==> x² = 1184/74

==> x² = 592/37

==> x² = 16

==> x = √16

==> x = 4

Hence

Dimensions of cuboid will be

first dimensions be = 6x = 6×4 = 24cm

Second dimensions be= 4x = 4×4 = 16vm

Third. dimensions be= 5x = 5×4 = 20cm

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