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HELPPPP it’s due tomorrow://

HELPPPP it’s due tomorrow://-example-1
User Ben Mayo
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1 Answer

19 votes
19 votes

Answer:


V = 253 \textrm{ cubic feet}

Explanation:

The volume of a rectangular prism is


V = l \cdot w \cdot h,

where
l is the figure's length,
w is its width, and
h is its height.

So, we can solve for the volume of the given prism by plugging in the given side lengths.


V = 11 \cdot 4 \cdot 5 \, (3)/(4)

Next, simplify by multiplying the whole numbers, 11 and 4.


V = 44 \cdot 5 \, (3)/(4)

Then, notate the numbers as improper fractions and multiply the numerators and denominators.


V = (44)/(1) \cdot (23)/(4)


V = (44 \cdot 23)/(1 \cdot 4)


V = (1012)/(4)

Finally, notate the fraction as a whole number by dividing 1012 by 4.


V = 253 \textrm{ cubic feet}

Note the units for the rectangular prism's volume; each of the prism's 3 side lengths had 1 ft attached to it, hence
\textrm{ft} \cdot \textrm{ft} \cdot \textrm{ft} = \textrm{ft}^3 ("cubic feet") when they are multiplied to solve for volume.

User QuantumBlack
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