Volumes Of Cylinders & Prisms

This lesson covers:

  1. How to find the volumes of cylinders and prisms
  2. Both can be found by doing the 'area of the cross-section x length'

The image below shows a cylinder with a radius of 3 cm and a height of 6 cm.


Calculate the volume of the cylinder.

(Give your answer to 2 decimal places)

Diagram of a cylinder with a radius of 3 cm and a height of 6 cm.
169.65

cm3

cm3

0

/

1

The image below shows a cylinder with a radius of 4 cm and a height of 7 cm.


Calculate the volume of the cylinder.

(Give your answer to 2 decimal places)

Diagram of a cylinder with a radius of 4 cm and height of 7 cm for volume calculation.
351.86

cm3

cm3

0

/

1

The image below shows a cylinder with a radius of 5 cm and a volume of 707cm3.


Calculate the height of the cylinder.

(Give your answer to the nearest cm)

Diagram of a cylinder with a radius of 5 cm and a volume of 707 cm cubed.
9

cm

cm

0

/

1

Calculate the volume of the triangular prism shown below.

(Give your answer to 2 decimal places)

Diagram showing a triangular prism with dimensions 5 cm, 4.5 cm, and 8 cm for volume calculation.
90.00

cm3

cm3

0

/

1

Calculate the volume of the triangular prism shown below.

(Give your answer to 2 decimal places)

Diagram showing dimensions of a triangular prism with sides 3 cm, 6 cm, and 8 cm for volume calculation.
72

cm3

cm3

0

/

1

Calculate the volume of the triangular prism shown below.

(Give your answer to 2 decimal places)

Diagram showing a triangular prism with dimensions 4 cm, 5 cm, and 22 cm for volume calculation.
220

cm3

cm3

0

/

1

The image below shows a triangular prism with a volume of 972cm3.


Calculate the length of the prism.

(Give your answer the nearest cm)

Diagram of a triangular prism with a volume of 972cm3, showing dimensions of 9cm and 12cm, and asking for the length of the prism.
18

cm

cm

0

/

1

The image below shows a triangular prism with a volume of 308 cm3.


Calculate the height of the prism.

(Give your answer the nearest cm)

Diagram of a triangular prism with a volume of 308 cm3, showing a base of 4 cm, a length of 22 cm, and a height to be calculated.
7

cm

cm

0

/

1