Question

a farmer fills a rectangular water trough to a depth of 1 foot. the trough is 4 feet long and 2 feet wide. how much water is in the trough? a 9 ft³ b 8 ft³ c 7 ft³ d 10 ft³

Explanation:

Step1: Recall the volume formula for a rectangular prism

The volume \( V \) of a rectangular prism is \( V = l\times w\times h\), where \( l \) is length, \( w \) is width, and \( h \) is height (or depth in this case).

Step2: Substitute the given values into the formula

Given \( l = 4\) ft, \( w = 2\) ft, \( h = 1\) ft. Then \( V=4\times2\times1\).

Step3: Calculate the product

\( 4\times2\times1=(4\times2)\times1 = 8\times1=8\)

Answer:

B. \(8\ \text{ft}^3\)