Volume and Shapes of Prisms

The video tutorial covers the calculation of the volume of composite objects, specifically focusing on a building with a rectangular base and a triangular roof. The teacher explains the dimensions of the building in centimeters and discusses two methods for converting these measurements to cubic meters. The tutorial demonstrates how to calculate the volume of both rectangular and triangular prisms using specific formulas, and then combines these volumes to find the total volume of the composite object. Finally, the teacher converts the total volume from centimeters cubed to meters cubed, emphasizing the importance of using the correct conversion rate for volume.

What is the height of the rectangular part of the building?

• 202 cm

• 310 cm

• 289.5 cm

• 79 cm

How many centimeters are there in one meter?

• 100

• 10000

• 10

• 1000

What is the conversion factor from cubic meters to cubic centimeters?

• 100

• 1000000

• 1000

• 10000

Which two shapes make up the composite object in the problem?

• Rectangular Prism and Triangular Prism

• Cylinder and Sphere

• Cube and Pyramid

• Cone and Cylinder

What is the formula for the volume of a rectangular prism?

• Base x Height

• 1/2 x Base x Height

• 1/3 x Base x Height x Depth

• Base x Height x Depth

What is the volume of the rectangular prism in the problem?

• 18,128,490 cm³

• 21,673,417.5 cm³

• 3,544,927.5 cm³

• 1,000,000 cm³

What is the formula for the volume of a triangular prism?

• 1/2 x Base x Height x Depth

• 1/3 x Base x Height x Depth

• Base x Height

• Base x Height x Depth

What is the volume of the triangular prism in the problem?

• 18,128,490 cm³

• 3,544,927.5 cm³

• 21,673,417.5 cm³

• 1,000,000 cm³

What is the total volume of the composite object in cubic centimeters?

• 21,673,417.5 cm³

• 18,128,490 cm³

• 1,000,000 cm³

• 3,544,927.5 cm³

What is the total volume of the composite object in cubic meters?

• 1.00 m³

• 3.54 m³

• 18.13 m³

• 21.67 m³