How deep is the water in the trough if a water trough is in the...

auskunftsgkp

auskunftsgkp

Answered

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?

Answer & Explanation

Pamela Webb

Pamela Webb

Expert

2022-02-02Added 10 answers

Step 1
Volume=length × width × height
To calculate height (depth), divide the given volume by the product of the length and width.
height=9.4ft312ft×3ft
height=9.4ft336ft2=0.2611 ft
Convert feet to inches.
0.2611ft×12 in1 ft=3.1332 inches

falwennaf5c7

falwennaf5c7

Expert

2022-02-03Added 7 answers

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
Vtrough=12×3×H cubic feet
If Vtrough=9.4 cubic feet then
9.4=12×3×H
9.412×3=H
H=9.436
=0.26 ft

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get your answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?