Boxes hold various numbers of square-based prisms in a single column. The square base of each prism has a side length of 18 inches. The height of each prism, h, can be found using the function , where V is the volume of the prism. The total height of the box, b, can be found using the function b(h) = xh, where x is the number of square-based prisms in a specific box. Which function can be used to find the height of a box containing 4 square prisms, depending on the volume of the prisms?

The square base of each prism has a side length of 18 inches. The height of each prism, h, can be found using the function, where V is the volume of the prism.

So, V = 18² × h = 324h

⇒ h = [tex]\frac{V}{324}[/tex] .......... (1)

Now, given that the total height of the box, b, can be found using the function b(h) = xh, where x is the number of square-based prisms in a specific box.

Therefore, the box having 4 square prism will have height

b(h) = 3h

⇒ b(V) = [tex]3 \times \frac{V}{324}[/tex] {From equation (1)}

⇒ [tex]b(V) = \frac{V}{108}[/tex] (Answer)

FatherCosmic21 FatherCosmic21 · Answer 2 · 2021-04-08T20:14:53+02:00

FatherCosmic21 FatherCosmic21

08-04-2021

Answer:

B is correct on edge 2021.

Step-by-step explanation:

i have no idea who the idiots are that rated that top answer wrong. it is B on edge 2021

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