A barn is shaped like a rectangular prism with a triangular prism on top as shown. The exterior four walls and two triangular faces need to be repainted. If one gallon of paint covers 232 square feet, how many gallons will it take to repaint the barn?
(Rectangular prism dimensions=
h: 20 ft l: 84 feet w: 38 feet)
(Triangular prism dimensions=
h: 12 feet l: 84 feet w: 19 feet)
Answers
Answer:
Mathematics revolves around the concept of “number” (and its operation and generalizations) that describes the physical act of counting and representing an amount or a quantity. Mathematics is a “language” about “operations” on “numbers”. Physics is “theories” about “actions” on “quantities”.The square root of 2, or the (1/2)th power of 2, written in mathematics as √2 or 21⁄2, is the positive algebraic number that, when multiplied by itself, equals the number 2. Technically, it is called the principal square root of 2, to distinguish it from the negative number with the same property.
Geometrically the length of a diagonal across a square with sides of one unit of length; this follows the Pythagorean theorem. It was probably the first number known to be irrational.[citation needed]
As a good rational approximation for the square root of two, with a reasonably small denominator, the fraction 99/70 (≈ 1.4142857) is sometimes used.
The sequence A002193 in the OEIS consists of the digits in the decimal expansion of the square root of 2, here truncated to 65 decimal places: