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lana [24]
3 years ago
9

pia built a rectangler prism with cubes the base of her prism has 12 one cm cubes if the prism was built with 108 one cm cubes w

hat is the height of her prism
Mathematics
1 answer:
qaws [65]3 years ago
7 0
The height of the prism is 9cm. 
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<h2>a = 400/21, b = 580/21</h2>

Step-by-step explanation:

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b^2=\left(\dfrac{400}{21}\right)^2+20^2\\\\b^2=\dfrac{160000}{441}+400\\\\b^2=\dfrac{160000}{441}+\dfrac{176400}{441}\\\\b^2=\dfrac{336400}{441}\to b=\sqrt{\dfrac{336400}{441}}\\\\b=\dfrac{\sqrt{336400}}{\sqrt{441}}\\\\b=\dfrac{580}{21}

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Step-by-step explanation:

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