Question

a rain gutter is 24 feet long, 4 inches in height, 3 inches at base and 6 inches at top. how many gallons of water will it hold?

Answer 1

Answer:1.8701

Step-by-step explanation:

Area (A) of trapezium as marked is =$\frac{1}{2}$$\left ( sum\ of\ parallel\ sides\right )\times height$

A=$\frac{1}{2}$$\left ( 3+6\right )\times 4$

A=18$in^2$

Now for Volume we have to multiply by length because area is same across the length.

volume(v)=$A\times length$

Volume(v)=$18\times 24$

Volume(v)=432 $in^3$

Volume(v)=1.8701 gallon