7. $$ \begin{aligned} V & =2912 ext { in. }^{3}, \ell=32 ext { in. }, \ w & =13 ext { in. }, h=? ~ i n . ~\end{aligned} $$

Question

7. $$ \begin{aligned} V & =2912 	ext { in. }^{3}, \ell=32 	ext { in. }, \ w & =13 	ext { in. }, h=? ~ i n . ~\end{aligned} $$

UpStudy AI · Accepted Answer

The volume of a rectangular prism is given by the formula:
  Volume = length × width × height

We are provided with:
  Volume, V = 2912 in³
  Length, ℓ = 32 in
  Width, w = 13 in

To find the height, h, substitute the known values into the formula and solve for h:
  2912 in³ = 32 in × 13 in × h

First, calculate the product of the length and width:
  32 in × 13 in = 416 in²

Now, solve for h:
  h = 2912 in³ ÷ 416 in²
  h = 7 in

Thus, the height is 7 inches.
The height is 7 inches.

7. \( \begin{aligned} V & =2912 \text { in. }^{3}, \ell=32 \text { in. }, \\ w & =13 \text { in. }, h=? ~ i n . ~\end{aligned} \)