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HELP ASAP!!!!!!!!!!!!!!!!!!!!!!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 ,h(v)=V/324, 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?

1.) b(h(v))=h/81

2.)b(h(v))=v/81

3.)b(h(v))=v/1296

4.)b(h(v))=h/1296

Respuesta :

oladayoademosu

The function can be used to find the height of a box containing 4 square prisms, depending on the volume of the prisms is b(h(v)) = V/81

How to find the height of the box containing 4 square prisms?

Given that we have square-based prisms in a single column and that the square base of each prism has a side length of 18 inches.

Also, the height of each prism, h, can be found using the function ,h(v) = V/324, where V is the volume of the prism.

Since 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.

To find the height of the box containg 4 square prisms, we have that x = 4

So, b(h) = xh

b(h) = 4h

Since h(v) = V/324,substituting h into b, we have

b(h) = 4h

b(h) = 4V/324

b(h(v)) = V/81

So, the function can be used to find the height of a box containing 4 square prisms, depending on the volume of the prisms is b(h(v)) = V/81

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