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Tcecarenko [31]
3 years ago
6

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

Mathematics
1 answer:
sammy [17]3 years ago
7 0

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      <em>subtract 168 from both sides</em>

40h=320     <em>divide both sides by 40</em>

\boxed{h=8\ cm}

<h3>Answer: height = 8 cm</h3>
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