Volume Formulas for simple shapes.
Surface Area Formula of Shapes
Volume of Simple Shapes
Volume of Composite Shapes
The volume of shapes with portions removed.
100

Rectangular Prism

V=L x W x H

100

Rectangular Prism 

2LW+2LH+2WH

100

What is the volume of a cube with side length 5 cm?

125cm3  

100

How do you find the volume of a composite shape? 

You find the volume of each part and add them together. 

100

How do you find the volume of a shape with portions removed?

Find the volume of the regular shape and subtract the volume of the portion removed.
200

Cylinder 

V= πr2h

200

Cylinder

2πr2+2πrh

200

What is the volume of a cylinder with a radius of 3 cm and height of 10 cm?

≈282.74cm3

200

What is the volume of a cube with side length 3 cm with a prism of length 1 cm , width 3 cm , and height 7 cm placed on top?

=567 cm3

200

What is the volume of a cube with a side length of 5 cm with a cube with a side length of 2 cm removed? 

= 117 cm3

300

Pyramid

V= 1/3 L x W x H

300

Sphere

4πr2

300

What is the volume of a cone with a radius of 4 cm and height of 9 cm?

≈150.8cm3

300

What is the volume of a cylinder with a radius of 5 cm and height of 10 cm, with a cone of radius 3 cm and height 4 cm added to the top?

≈823.097 cm3

300

What is the volume of a cylinder with a radius of 6 cm and height 12 cm, with a cylindrical hole of radius 3 cm and height 12 cm removed from the center?

≈1017.88cm3

400

Cone

V= (1/3) πr2

400

Pyramid

(LxW)+2WxS

S=slant height 

400

What is the volume of a sphere with radius 7 cm?

≈1436.76cm3

400

Find the volume of a sphere with radius 6 cm, and a cone with a radius of 6 cm and height of 8 cm. 

≈1192.32 cm3

400

What is the volume of a sphere with a radius 7 cm with a cylindrical hole through its center with a radius 2 cm and a height of 14 cm? 

≈ 1260.826 cm3

500

Sphere

V= (4/3)πr3

500

Cone

πr2+πrS

S= slant height 

500

What is the volume of a pyramid with a square base of side length 6 cm and height 10 cm?

=120cm3

500

What is the Cavalieri’s Principle? 

Cavalieri’s Principle states that if two objects have the same height and if the two objects have the same are for any cross-section, then the two objects have the same volume. 

500

What is the volume of a cone with a radius of 4 cm and height of 10 cm, if a smaller cone with radius 2 cm and height 4 cm is removed from the top?

≈486.75cm3