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Pachacha [2.7K]
3 years ago
5

write a function to model the volume of a rectangular prism if the length is 10cm and the sum of the width and height is 18cm.

Mathematics
1 answer:
Musya8 [376]3 years ago
8 0
Let the length be l, width w and height h, then
Volume = length x width x height
l = 10cm, w + h = 18cm

V(h) = 10(18 - h)h = 180h - h^2
V(h) = 180h - h^2
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fomenos

▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪

Volume of cone will be ~

\fbox \colorbox{black}{ \colorbox{white}{volume} \:  \:  \:   \:   \: \colorbox{white}{=}  \:  \:   \:   + \colorbox{white}{462 \: cm³ }}

\large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}

Let's find the volume of cone with ~

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  • height (h) = 9 cm

And as we know, volume of cone is equal to ~

  • \dfrac{1}{3}\pi  {r}^{2} h

now, let's plug in the values and find the volume ~

  • \dfrac{1}{ \cancel{3}  }\times  \dfrac{22}{\cancel{7}}  \times \cancel{7 }\times 7 \times \cancel{9}

  • 1 \times 22 \times 7 \times 3

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