Volume of 3D Shapes

The video tutorial explains how to find the volume of composite figures by calculating the volume of individual 3D shapes and adding them together. It covers the volume calculation of a rectangular prism, a pyramid, a cylinder, and a hemisphere. The tutorial provides step-by-step instructions and formulas for each shape, demonstrating how to combine their volumes to find the total volume of composite figures.

What is the first step in finding the volume of a composite figure?

• Subtract the volumes of individual shapes

• Multiply the volumes of individual shapes

• Add the volumes of individual shapes

• Divide the volumes of individual shapes

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

• Base area times height

• 1/3 times base area times height

• 4/3 pi radius cubed

• Pi radius squared times height

How do you calculate the volume of a pyramid?

• Pi radius squared times height

• Base area times height

• 4/3 pi radius cubed

• 1/3 times base area times height

What is the total volume of a composite figure with a rectangular prism of 90 ft³ and a pyramid of 70 ft³?

• 160 ft³

• 70 ft³

• 90 ft³

• 180 ft³

What is the formula for the volume of a cylinder?

• 4/3 pi radius cubed

• Base area times height

• Pi radius squared times height

• 1/3 times base area times height

If a cylinder has a radius of 3 and a height of 7, what is its volume in terms of pi?

• 21 pi

• 63 pi

• 9 pi

• 27 pi

What fraction of a sphere's volume is a hemisphere?

• 2/3

• 1/3

• 1/2

• 1/4

What is the formula for the volume of a sphere?

• 1/3 times base area times height

• Base area times height

• Pi radius squared times height

• 4/3 pi radius cubed

If a hemisphere has a radius of 3, what is its volume in terms of pi?

• 27 pi

• 9 pi

• 18 pi

• 54 pi

What is the total volume of a composite figure with a cylinder of 63 pi and a hemisphere of 18 pi?

• 81 pi

• 45 pi

• 18 pi

• 63 pi