subject: Solving Geometric Volumes [print this page] Volume is the amount of space enclosed by a shape or object, how much 3-dimensional space (length, width, and height) it occupies. Volumes of straight-edged, circular shape, regular, and can be simply calculated using formulas. Integral calculus is used to find the more complicated shapes if a formula exists for its boundary. In geometric volumes consist of volume of cube, Rectangular prism, cylinder.
Following are the problems given for solving geometric volumes:
Solving Geometric Volumes for Different Shapes:
Formula for solving geometric volumes of the cube = a^3.
a = side length of the cube.
Example Problems:
1. The side length of cube is 4 meters. Find the volume of the cube.
Solution:
Volume of the cube =a^3.
a = 4 meters.
= (4)^3.
Volume of the cube =64 m^3.
2. The side length of cube is 7 meters. Find the geometric volumes of the cube.
Solution:
Volume of the cube = a^3.
a = 7 meters.
= (8)^3.
Volume of the cube =343 m^3.
Rectangular prism:
Formula for geometric volumes of the rectangle = a x b x c.
a, b, c are the side (length) duration of rectangular prism.
Problem:
1. The side lengths of the rectangular prisms are 2 cm, 3cm, and 4cm respectively. Find the volume.
