Find the volume of a rectangular parallelepiped if its length is 30m, width is 10m and height is 2m.
Find the volume of a rectangular parallelepiped if its length is 30m, width is 10m and height is 2m. What is the area of the base of this parallelepiped?
A rectangular parallelepiped is a polyhedron with six faces, each of which is generally a rectangle. Therefore, the base of a rectangular parallelepiped is a rectangle. The area of the rectangle is equal to the product of the length and the width.
S = a * b,
a – length,
b – width.
Let’s calculate the area of a rectangle, knowing that the length is 30 meters and the width is 10 meters.
S = 10 * 30 = 300 square meters.
Calculate the volume of a rectangular parallelepiped
The volume of a rectangular parallelepiped is equal to the product of the area of the base and the height. The formula for finding the volume: V = Sb * H, where Sb is the area of the base, and H is the height. Let’s calculate what the volume is, knowing that the base area is 300 square meters, and the height of the rectangular parallelepiped is 2 meters.
V = Ssc * H = 300 * 2 = 600 cubic meters.
Sсн = 300 sq.m.
H = 2 meters.
V = 600 cubic meters
Answer: 600 cubic meters.