Exploring Surface Area Concepts

The video tutorial explains how to calculate the surface area of various three-dimensional shapes, including spheres, rectangular prisms, and cylinders. It begins with an introduction to the concept of surface area, followed by detailed calculations for each shape. The tutorial covers the formulas needed and provides step-by-step examples to ensure understanding.

What is the formula for the surface area of a sphere?

• 2 * pi * r^2

• 4 * pi * r^2

• pi * r^3

• 6 * pi * r^2

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

How many faces does a rectangular prism have?

• 4

• 12

• 8

• 6

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CCSS.6.G.A.4

What is the area of the left and right faces of the rectangular prism if one side is 6cm and the other is 5cm?

• 30 square centimeters

• 120 square centimeters

• 300 square centimeters

• 60 square centimeters

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CCSS.7.G.B.6

What is the total surface area of the rectangular prism?

• 320 square centimeters

• 305 square centimeters

• 302 square centimeters

• 310 square centimeters

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CCSS.7.G.B.6

What is the radius of a cylinder if its diameter is 12 inches?

• 4 inches

• 12 inches

• 24 inches

• 6 inches

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CCSS.7.G.B.4

What is the area of the top and bottom circles of the cylinder?

• 113.1 square centimeters

• 452.4 square inches

• 226.2 square inches

• 113.1 square inches

How do you find the length of the rectangle that wraps around the cylinder?

• 2 * Pi * diameter

• 2 * Pi * radius

• Pi * diameter

• Pi * radius

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CCSS.7.G.A.3

What is the surface area of the rectangle that wraps around the cylinder?

• 226.2 square inches

• 377 square inches

• 302.4 square inches

• 150.8 square inches

What is the final step in calculating the surface area of a cylinder?

• Dividing the total area by two

• Adding the areas of the top, bottom, and rectangle

• Multiplying the area of the rectangle by two

• Adding the area of the top circle

What is the total surface area of the cylinder?

• 603.2 square inches

• 776.4 square inches

• 226.2 square inches

• 377 square inches