Exploring Volume Calculations for Prisms and Cylinders

This video tutorial explains how to calculate the volume of prisms and cylinders using the formula V = B * h, where B is the area of the base and h is the height. It provides examples for a triangular prism, a cylinder, and a rectangular prism, detailing the steps to find the area of the base and the height for each shape. The tutorial emphasizes the importance of using the correct units and offers both exact and rounded solutions for calculations involving pi.

What does the 'B' in the volume formula V = B * h represent?

• Height of the figure

• Width of the base

• Volume of the base

• Area of the base

What is the correct formula to calculate the area of a triangle?

• Base + Height

• Base * Height / 2

• Base * Height

• 2 * Base * Height

What is the height of the prism if the volume is 90 cm cubed and the area of the base is 11.25 cm squared?

• 12 cm

• 10 cm

• 6 cm

• 8 cm

How do you calculate the volume of a triangular prism?

• Multiply the area of the base by the height of the prism

• Add the area of the base to the height of the prism

• Subtract the height of the prism from the area of the base

• Divide the area of the base by the height of the prism

What is the area of a circle with a radius of 5 cm?

• 20 pi cm squared

• 15 pi cm squared

• 25 pi cm squared

• 10 pi cm squared

How is the volume of a cylinder calculated?

• Area of the base plus the height

• Area of the base divided by the height

• Area of the base times the height

• Area of the base minus the height

What is the volume of a cylinder with a base area of 25 pi cm squared and height 10 cm?

• 150 pi cm cubed

• 100 pi cm cubed

• 35 pi cm cubed

• 250 pi cm cubed

What formula is used to find the area of a rectangle?

• Length - Width

• Length * Width

• Length + Width

• Length / Width

If the base of a rectangular prism is 140 feet squared and the height is 5 feet, what is the volume?

• 700 feet cubed

• 145 feet cubed

• 280 feet cubed

• 135 feet cubed

What unit is used to measure the volume in the examples provided?

• Feet cubed

• Centimeters cubed

• Feet squared

• Centimeters squared