Volume and Surface Area of Prisms and Cylinders Explained

This video tutorial covers the concepts of volume and surface area for prisms and cylinders. It explains how to calculate the volume of square and triangular-based prisms, as well as cylinders, by using the area of the base and the height. The tutorial also details how to find the surface area of these shapes, including the lateral surface area and the total surface area, using specific formulas. Examples are provided to illustrate the calculations for both volume and surface area.

What does the volume of a solid represent?

• The space inside the solid

• The material needed to create the solid

• The color of the solid

• The weight of the solid

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CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4

How do you calculate the volume of a prism?

• Divide the base area by the height

• Multiply the base area by the height

• Add the base areas together

• Multiply the base area by the width

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CCSS.7.G.B.6

What is the formula for the area of a square?

• Length plus width

• Base times height

• Side squared

• Pi times radius squared

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CCSS.3.MD.C.7B

CCSS.4.MD.A.3

What shape bases does the cylinder have?

• Circular

• Triangular

• Rectangular

• Square

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CCSS.7.G.A.3

How is the volume of a cylinder calculated?

• Base area plus height

• Base area times height

• Pi times radius squared times height

• 2 times pi times radius times height

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What does the surface area of a solid represent?

• The space inside the solid

• The weight of the solid

• The material needed to cover the solid

• The height of the solid

How do you calculate the surface area of a square-based prism?

• 2 times base area plus lateral surface area

• Base area times height

• Pi times radius squared

• Length times width times height

Tags

CCSS.7.G.B.6

What is the lateral surface area?

• Area of the base

• Area of the top

• Sum of the areas of all side faces

• Product of base area and height

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CCSS.7.G.B.6

How is the surface area of a cylinder calculated?

• 2 times pi times radius squared plus 2 times pi times radius times height

• Pi times radius squared times height

• Base area times height

• Length times width

What is the formula for the circumference of a circle used in the cylinder's surface area calculation?

• 2 times pi times radius

• Pi times diameter

• Radius times height

• Pi times radius squared

Tags

CCSS.7.G.B.4