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brilliants [131]
3 years ago
8

A rectangular prism has length that is twice its width and height that is 4 meters longer than its width. the volume of the rect

angular prism is 48 cubic meters write a polynomial function to represent the volume of the rectangular prism

Mathematics
1 answer:
Alex777 [14]3 years ago
4 0
Let
x-----------> is the <span>length of a prism
</span>y-----------> is the width of a prism
z-----------> is the height of a prism
<span>
we know that
[volume of a prism]=x*y*z------------> equation 1
x=2y-----------> equation 2
z=4+y---------> equation 3
V=48 m</span>³<span>

</span><span>I substitute 2 and 3 in 1
</span>V=x*y*z---------> V=(2y)*y*(4+y)--------> V=2y²*(4+y)
V=2y³+8y²-----------> 48=2y³+8y²---------> 2y³+8y²-48=0

the answer is
2y³+8y²-48=0  (<span>polynomial function)
</span>
using a graph tool
see the attached figure

y=2 m
x=2y------->x=2*2-----> x=4 m
z=4+y-------> z=4+2-----> z=6 m

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