Question

rain gutter is 36 feet long, 8 inches in height,3 inches across base, 12 inches across top..how many gallons of water will it hold when full?

Answer 1

Answer:

112.77 gallons of water

Step-by-step explanation:

We will calculate the area by Trapezoid formula :

$A=\frac{a+b}{2}\times h\times l$

Given Base a = 12 inches  = 1 feet

          Base b = 3 inches  =  0.25 feet

          height  = 8 inches  = 0.67 feet

          length  = 36 feet    = 36 feet

$Area=\frac{1+2.5}{2}\times 0.67\times 36$

= 0.625 × 0.67 × 36

= 15.075 cubic feet.

As we know 1 cubic feet = 7.48052 per liquid gallon

Therefore, 15.075 cubic feet = 15.075 × 7.48052

                                               = 112.768839 ≈ 112.77 liquid gallon

When full it will hold 112.77 gallons of water