Question

Which function can be used to find the height of a box containing 4 square prisms, depending on the volume of the prisms?

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.

Ob(h(V)) =

A. 81

B. 1.296

C. bih(V)) = 81

D. b(h(V)) = 1.296

Answer 1

The function that can be used to find the height of a box containing 4 square prisms is b(h(V)) = xh, where x is the number of square-based prisms in the box. The height of each prism can be found using the function h(v) = V/324. The total height of the box can be found by substituting the value of h into the b(h(V)) function.

Step-by-step explanation:

The function that can be used to find the height of a box containing 4 square prisms is b(h(V)) = xh, where x is the number of square-based prisms in the box. In this case, x = 4.

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 can be found by substituting the value of h obtained from the previous equation into the b(h(V)) function.

So, the correct option is D. b(h(V)) = 1.296.