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3 years ago

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A swimming pool is the shape of a rectangular prisam. If pool is 12 3/4 yards wide and 9 yards deep what is the volume of the sw

imming pool

1 answer:

tresset_1 [31]3 years ago

4 0

Complete question :

A swimming pool is the shape of a right rectangular prism. If the pool is 12 3/4 yards long, 5 2/3 yards wide, and 9 yards deep, what is the volume of the swimming pool

Answer:

650 1/4 yd³

Step-by-step explanation:

Volume of a rectangle prism :

V = Length * width * height

V = 12 3/4 * 5 2/3 * 9

V = 51/4 * 17/3 * 9/1

V = (51*17*9) / (4*3*1)

V = 7803 / 12

V = 650 3/12

Volume of swimming pool = 650 1/4 yd³

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$\bold{\huge{\orange{\underline{ Solution }}}}$

$\bold{\underline{ Given \: Rules}}$

<u>The </u><u>sum</u><u> </u><u>of </u><u>the </u><u>number </u><u>in </u><u>each </u><u>of </u><u>the </u><u>four </u><u>rows </u><u>is </u><u>the </u><u>same </u>
<u>The </u><u>sum </u><u>of </u><u>the </u><u>numbers </u><u>in </u><u>each </u><u>of </u><u>the </u><u>three </u><u>columns </u><u>is </u><u>the </u><u>same</u>
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$\bold{\underline{ Let's \: Begin}}$

<u>According </u><u>to </u><u>the </u><u>Second</u><u> </u><u>rule </u><u>:</u><u>-</u>

$\sf{ 75+b+83=76+80+d=a+81+85+78+c+e }$

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$\sf{ 75+76+a+78 = b+80+81+c = 83+86+d+e}$

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$\sf{ 158 + b = 166 + a, 156 + d = 166 + a }$

$\sf{ b = 166 - 158 + a, d = 166 - 156 + a }$

$\sf{ b = 8 + a, d = 10 + a ...(3)}$

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$\sf{229+a = 161+8+a+c = 168+10+a+e}$

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$\sf{ For \: d , 156 + b = 189 }$

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$\sf{ d = 33}$

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