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# The Gray family is putting in a pool in the shape of a rectangular prism. The first plan shows a pool that is 15 feet long, 12 feet wide, and 5 feet deep. The second plan shows a pool with the same length and width, but a depth of 7 feet. How much more water is needed to fill the second pool if both pools are filled to the top?

Solution

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$B=a\times b$

$B=15\times 12$

$B=180 ft^{2}$

$V_{1}=B\times h_{1}$

$V_{1}=180\times 5$

$V_{1}=900ft^{3}$

$V_{2}=B\times h_{2}$

$V_{2}=180\times 7$

$V_{2}=1260ft^{3}$

$V_{2}-V_{1}=1260-900=360ft^{3}$

Use the formula for the volume of a prism

$V=B\times h$

$B$- area of a base(rectangle, 15 ft long and 12 ft wide)

$h_{1}$- height of the prism( 5ft )

$h_{2}$- height of the prism( 7ft )

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