please answer it's urgent please
the dimensions of cuboid are in the ratio 2:3:4 and it's total surface area is 5200 cm². find the volume of cuboid...
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is 24000cm^3 or 0.06
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Step-by-step explanation:
Let the dimensions be 2x, 3x and 4x.
Here,
Length = 2x
Breadth = 3x
Height = 4x
We know that,
TSA of cuboid = 2 (lb + bh + hl)
5200 = 2 [(2x x 3x) + (4x × 3x) + (4x × 2x)]
X
2600 = 6x² + 12x² + 8x²
26x² = 2600
x² = 2600/26
x² = 100
x = ± 10
But x cannot be negative.
Hence, x = 10.
Length = 2x = 20 cm
Breadth = 3x = 30 cm
Height = 4x = 40 cm
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