Sometimes also referred to as “Rhomboid”, a parallelepiped is a 3-D shape moulded by 6 parallelograms. If observed more carefully, as a cube relates to a square, a cuboid relates to a rectangle, the same way a parallelepiped is related to parallelogram.
We have the following formula for finding out the volume, lateral surface area and Surface area of rectangular parallelepiped.
The formulas are:
Question: Counting 38 cu. ft. of coal to a ton, how many tons will a coal bin 19 ft. long, 6 ft. wide, and 9 ft. deep contain, when level full?
The volume of a rectangular parallelepiped is given by the formula,
Substitute the values of length, width, and height of a tin
We have, V=L×W×H
The density of a substance is given by the formula,
where ρ is the density, W is the weight, and V is the volume of a substance respectively.
Therefore, the weight of a coal in a bin is:
W = ρV
W = 1026R3(1 ton/38 r3)
W = 27 tons