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A box has dimensions that are in proportions of 2:3:4. The volume of box is 3000 cu. in. Determine the dimensions of the box.
Volume - Length x Width x Height (Depth).
L x W x H = 3000.
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Dimensions - Box
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Re: Dimensions - Box
by Guest » Mon Jul 13, 2015 1:40 pm
Sides are 2x, 3x and 4x
[tex]2x \cdot 3x \cdot 4x = 3000[/tex]
[tex]2\cdot 3 \cdot 4 \cdot x^3 = 3000[/tex]
[tex]2\cdot 4 \cdot x^3 = 1000[/tex]
[tex]4 \cdot x^3 = 500[/tex]
[tex]x^3 = 125[/tex]
[tex]x = 5[/tex]
So sides are: 2x = 10
3x = 15
4x = 20
[tex]2x \cdot 3x \cdot 4x = 3000[/tex]
[tex]2\cdot 3 \cdot 4 \cdot x^3 = 3000[/tex]
[tex]2\cdot 4 \cdot x^3 = 1000[/tex]
[tex]4 \cdot x^3 = 500[/tex]
[tex]x^3 = 125[/tex]
[tex]x = 5[/tex]
So sides are: 2x = 10
3x = 15
4x = 20
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