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Jobisdone [24]
3 years ago
12

A new shop is being built in town and the design shows that it will be a rectangular prism with 8 meters along the front 12 mete

rs to the back of the shop and 3 meters from the floor to the ceiling if the design is followed what will be the volume of the space inside the shop
Mathematics
1 answer:
Kisachek [45]3 years ago
8 0

Volume of space inside shop is 288 m³

<u>Given that;</u>

Dimensions of rectangle = 8 meter , 12 meter , 3 meter

<u>Find:</u>

Volume of space inside shop

<u>Computation:</u>

Volume of rectangle = [l][b][h]

Volume of rectangle = Volume of space inside shop

So,

Volume of space inside shop = [8][12][3]

Volume of space inside shop = [96][3]

Volume of space inside shop = 288 m³

Learn more;

brainly.com/question/15019502?referrer=searchResults

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\huge \boxed{ \red{ \boxed{c)78 \: units ^{2} }}}

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<h3>to understand this</h3><h3>you need to know about:</h3>
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<h3>tips and formulas:</h3>
  • \rm \:A_{shaded}=  \dfrac{\theta}{360}  \times \pi {r}^{2}
<h3>let's solve:</h3>
  1. \sf sustitute \: the \: value \: of \:  \theta \: and \: r :  \\ A_{shaded} =  \frac{140}{360}  \times \pi \times  {8}^{2}
  2. \sf simpify \: squre :  \\ A_{shaded} =  \frac{140}{360}  \times \pi \times  64
  3. \sf simpify \: fraction:  \\ A_{shaded} =  \frac{7}{18}  \times \pi \times  64
  4. \sf  reduce \: 64:  \\ A_{shaded} =  \frac{7}{ \cancel{ \: 18} \:  ^{9} }  \times \pi \times  \cancel{ 64}  \: ^{32}  \\ A_{shaded} =  \frac{7}{9} \times \pi \times 32\\ A_{shaded} =  \frac{224\pi}{9}

\large A_{shaded}\approx 78 \: square  \: units

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3 years ago
Read 2 more answers
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