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g100num [7]
3 years ago
11

A cuboid has the width of x cm. The length of the cuboid is 4cm more than the width. The height is 4cm less than the width. The

volume of the cuboid is 500cm^3. Show that x satisfies the equation x^3-16=500
Mathematics
1 answer:
aleksandr82 [10.1K]3 years ago
7 0
The answer is; x(x+4)(x-4)=500 I don't know how it is, I just guess and it works
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{a}^{2}  +  {b}^{2}  - 2ab \:  \cos \: c \:  =  {c}^{2}  \\ a = 4 \\ b = 5 \\ c = 2 \\  \\ 2ab \: cos \: c =  {a}^{2}  +  {b}^{2}  -  {c}^{2}  \\  \:  \:  \:  \:  \:  \:  \:  \:  =  {(4)}^{2}  +  {(5)}^{2}  -  {(2)}^{2}  \\  \:  \:  \:  \:  \:  \:  \:  \:  = 16 + 25 - 4 \\  \:  \:  \:  \:  \:  \:  = 41 - 4 \\  \:  \:  \:  \:  \:  \:   = 37

Hope this helps...

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