auskunftsgkp

2022-02-01

How deep is the water in the trough if a water trough is in the shape of a rectangular prism that is 12 feet long by 3 feet wide and has 9.4 cubic feet of water?

Pamela Webb

Expert

Step 1

To calculate height (depth), divide the given volume by the product of the length and width.
$\text{height}=\frac{9.4f{t}^{3}}{12ft×3ft}$

Convert feet to inches.
inches

falwennaf5c7

Expert

Step 1
A rectangular prism is a 3D shape with 6 faces, where each face is a rectangle. A rectangle has 4 sides where all 4 corners are right angles (a square is a rectangle with all sides the same length).
The volume of a rectangular prism is length times width times height
$V=L×W×H$
So the volume of water in the trough is
${V}_{trough}=12×3×H$ cubic feet
If ${V}_{trough}=9.4$ cubic feet then
$9.4=12×3×H$
$\frac{9.4}{12×3}=H$
$H=\frac{9.4}{36}$

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