Composite Figures with a Hole

The video tutorial explains how to calculate the volume of composite figures with a hole. It starts by introducing the concept of composite figures and explains the need to subtract volumes instead of adding them. The tutorial then demonstrates how to calculate the volume of a cylinder and a square prism. Finally, it shows how to subtract the volume of the square prism from the cylinder to find the final volume, providing both exact and estimated results.

What is the main difference in approach when dealing with composite figures that have a hole?

• You add the volumes of all shapes.

• You multiply the volumes of all shapes.

• You subtract the volume of the shape that is cut out.

• You divide the volumes of all shapes.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What formula is used to calculate the volume of a cylinder?

• 2 times pi times radius times height

• Pi times radius squared times height

• Length times width times height

• Base area times height

Tags

CCSS.7.G.B.4

If the radius of a cylinder is 3, what is the base area?

• 9 pi

• 6 pi

• 3 pi

• 12 pi

Tags

CCSS.HSG.CO.C.10

How do you determine the side length of a square prism in a 45-45-90 triangle?

• Multiply the hypotenuse by root 2

• Multiply the leg by root 2

• Divide the leg by root 2

• Divide the hypotenuse by root 2

Tags

CCSS.7.G.B.6

What is the side length of the square prism if the leg of the triangle is 3?

• 3

• 3 root 2

• 6 root 2

• 6

Tags

CCSS.7.G.B.6

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

• Pi times radius squared times height

• Length times width times height

• Base area times height

• Side squared times height

Tags

CCSS.7.G.B.6

If the side of the square prism is 3 root 2 and the height is 5, what is the volume?

• 45

• 60

• 90

• 120

Tags

CCSS.5.MD.C.5C

What operation is performed to find the volume of the composite figure?

• Division

• Addition

• Subtraction

• Multiplication

Tags

CCSS.5.MD.C.5C

What is the approximate volume of the composite figure if the cylinder's volume is 45 pi and the square prism's volume is 90?

• 45

• 141.3

• 90

• 51.3

Tags

CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4

If asked for an exact volume, what should you include in your answer?

• Convert to meters cubed

• Include units as centimeters cubed

• Use the decimal approximation

• Round to the nearest whole number

Tags

CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4