Volume 3D

Volume of 3D Figures

​Learning Target: Students will be able to find the Volume of 3D figures to solve problems.

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​Vocabulary: Volume - the amount of space an object takes up

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The formula for the volume of prisms and cylinders is (b×h).

​How to solve for volume...

1. ​Find the area of the base.

   To find the area of the base of a rectangular prism, you do Length × Width.

2. Multiply the area of the base by the height. The height of the shape is 6.

3. ​The volume of this rectangular prism is 1080in³.

​How to solve for volume...

1. ​Find the area of the base.

2. You then multiply the area of the base by the height.​

3. ​The volume of this cylinder is 502.4m³.

​How to solve for volume...

1. ​Find the area of the base. To find the area of the base of a triangular prism you do {(11×13)/2}.

2. ​You then multiply the base by the height. The height of this shape is 15.

3. ​The volume of the triangular prism is 1072.5 (The base of this shape is a triangle, even though the face on the bottom is a square. A prism is named after it's base.)

Multiple Choice

What is the volume of the cylinder?

• 200.96 cm³

• 12,057.6

• 3,014.4 cm³

• 6,028.8 cm³

Multiple Choice

What is the volume of the triangular prism?

• 1484 m³

• 1,848 m³

• 2,844 m³

• 1,654 m³

Multiple Choice

What is the volume of the rectangular prism?

• 75 cm³

• 70 cm³

• 90 cm³

• 80 cm³

Multiple Choice

What is the volume of the rectangular prism?

• 1,080 in³

• 1,100 in³

• 1,090 in³

• 1,110 in³