# Formulas of a volume with problem and solution

2
by balute

2014-09-30T18:34:03+08:00
Consider this problem with different units of measure.A concrete truck arrives at a job site holding 7.8 cubic yards of concrete.  If the patio being constructed is 18 feet across and 4 inches thick, how long, to the nearest foot, will the patio be if constructed from the amount of concrete on the truck?Always read carefully to determine if all of the measurements within a problem are expressed in the same units.  This problem deals with inches, feet and cubic yards.1 cubic yard = 27 cubic feet
(think of a cube 1 yd. x 1 yd. x 1 yd. which is also 3 ft. x 3 ft. x 3 ft.)
7.8 cubic yards x 27 = 210.6 cubic feet
4 inches = 0.333 ft.
V = lwh
210.6 = (l)(18)(0.333)
length = 35.1 feet
35 feet
2014-09-30T18:41:49+08:00
Rectangular Prism: LxWxH
Cube:
Cylinder: b h = pi  h
Cone:
(1/3) b h = 1/3 pi r^{2} h
Sphere: (4/3) pi r^{3}

Problem:
What is the volume of a rectangular prism with a length of 5 m, a width of 6 m, and a height of 12 m?
Solution: LxWxH = 5x6x12