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A rectangular prism has a surface area of 488cm^2. Its length is 14cm and its width is 6cm. Find it’s height.

User Navin Leon
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1 Answer

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The fromula of a surface area of a rectangular prism:


SA=2lw+2lh+2wh

w - width

l - length

h - height

We have


SA=488\ cm^2,\ l=14\ cm,\ w=6\ cm

Susbtitute:


2(14)(6)+2(14)(h)+2(6)(h)=488


168+28h+12h=488 subtract 168 from both sides


40h=320 divide both sides by 40


\boxed{h=8\ cm}

Answer: height = 8 cm

User Timothy Fries
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