Math

Volume

BY: Layan Bahlas & Racha Zahrani
Grade = 9C
Teacher's name : Asma Cheikh
Date = 28th OCT 2020
Examples

PROBLEMS

Down below , we have some examples about each shape and how to calculate their volume.
The volume helps us to determine the amount required to fill that object. 

Rectangular prism

There is a chocolate box whose length is 12 cm, height 9 cm, and width 6 cm. Find the volume of the box.

Formula : W*H*L
Answer : 648 cm3

Rectangular Pyramid

Find the volume of a rectangular pyramid with a base measuring 6 cm by 4 cm and height 10 cm.

Formula : W*H*L/3
Answer : 80cm3

Cube

Find the volume of a cube with side length of 20 feet.

Formula : A^3
Answer : 800 feet3

Cone

Calculate the volume of a cone if the height is 12 cm and the radius is 7 cm.

Formula : πR^2H/3
Answer :  616cm3

Irregular shapes

Find the area of this solid.

Formula : Break the solid down into shapes whose volume you know how to calculate. In this problem we have a triangle and a rectangle
Answer : 32

Sphere

A basketball has a diameter of 9 inches. What is the volume?

Formula : 4/3πR^3
Answer : 84.78 in3

Triangular prism

Find the volume of the triangular prism when height is 9 length is 18 and width is 18

Formula : 1/2 A*B*H
Answer : 972 cm3

Cylinder

The radius of the cylinder is 8 cm and the height is 15 cm.

Formula : πR^2H
Answer : 3016 cm3