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likoan [24]
3 years ago
12

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?

Mathematics
1 answer:
Lubov Fominskaja [6]3 years ago
3 0

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=18in^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

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Area of a triangle is 1/2 base times height. the base is the horizontal part of the triangle and the height is the vertical part. Since it a isosceles they are equal. Those two segment are also called the legs (remember that for later). 4x4=16 times 1/2 equal 8 cm squared. So know me must find the hypotenuse. Since we since dealing with a right triangle we are going to use pythagorean theorem which is

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