REGULAR SOLIDS
The volume of a solid is the measure of the amount of space the object takes up. There are many different types of solids and some common ones are cubes, cuboids, cylinders, cones, pyramids and spheres. The volume of each solid is computed differently and is measured in cubic units (cubic centimeters, cubic meters, etc.).
VOLUME OF A CUBOID
Given the length, the height, and the width, the volume of a box also called rectangular prism can be found by using the following formula:
V = l x w x h
Given the length, the height, and the width, the volume of a box also called rectangular prism can be found by using the following formula:
V = l x w x h
VOLUME OF A CUBE
Given the length of one side, call it a, the volume of a cube can be found by using the following formula:
V = a × a × a
Given the length of one side, call it a, the volume of a cube can be found by using the following formula:
V = a × a × a
VOLUME OF A CYLINDER
Given the radius and height, the volume of cylinders can be found by using the formula:
Volume = Area of base × height
= pi × r² × h
Use pi as 3.14.
Given the radius and height, the volume of cylinders can be found by using the formula:
Volume = Area of base × height
= pi × r² × h
Use pi as 3.14.
VOLUME OF A SPHERE
Given the radius, the volume of a sphere can be found by using the following formula:
V = (4/3) × pi × r³
Use pi as 3.14
Given the radius, the volume of a sphere can be found by using the following formula:
V = (4/3) × pi × r³
Use pi as 3.14
VOLUME OF A CONE
Given the radius and height, the volume of a cone can be found by using the formula:
Volume = 1/3 × b × h
b is the area of the base of the cone. Since the base is a circle, area of the base = pi × r²
Thus, the formula is V = 1/3 × pi × r² × h
Use pi as 3.14
Given the radius and height, the volume of a cone can be found by using the formula:
Volume = 1/3 × b × h
b is the area of the base of the cone. Since the base is a circle, area of the base = pi × r²
Thus, the formula is V = 1/3 × pi × r² × h
Use pi as 3.14
VOLUME OF A PYRAMID
The volume of a pyramid is calculated as shown:
Volume = (B × h)/3
B is the area of the base while h is the height
The base of the pyramid can be a rectangle, a triangle, or a square. Calculate the area of the base according to its shape.
The volume of a pyramid is calculated as shown:
Volume = (B × h)/3
B is the area of the base while h is the height
The base of the pyramid can be a rectangle, a triangle, or a square. Calculate the area of the base according to its shape.
