Calculating Surface Area and Lateral Area of Triangular Prisms

This video tutorial explains how to calculate the surface area of a triangular prism. It begins with an introduction to the problem and provides step-by-step instructions for calculating both the lateral area and the total surface area. The tutorial includes examples using different types of triangles, such as an isosceles triangle and a triangle where Heron's formula is applied. The video emphasizes the importance of understanding the perimeter and height in these calculations.

What is the height of the triangular prism?

• 30 units

• 8 units

• 17 units

• 21 units

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CCSS.1.G.A.1

CCSS.2.G.A.1

How do you calculate the lateral area of the prism?

• Perimeter of the base times the height of the prism

• Base area times height

• Length times width

• Base times height divided by two

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CCSS.7.G.B.6

What is the total surface area of the first triangular prism?

• 1608 square units

• 84 square units

• 168 square units

• 1440 square units

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CCSS.7.G.B.6

What is the perimeter of the base of the isosceles triangle?

• 30 inches

• 33 inches

• 26 inches

• 36 inches

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CCSS.3.MD.D.8

What is the lateral area of the isosceles triangle prism?

• 195 square inches

• 540 square inches

• 315 square inches

• 660 square inches

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CCSS.7.G.B.6

How is the base area of the triangle calculated in the isosceles triangle example?

• Length x Width

• Base x Height

• Perimeter x Height

• 1/2 Base x Height

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CCSS.6.G.A.1

What formula is used to calculate the area of a triangle with given sides?

• Pythagorean theorem

• Heron's formula

• Area = base x height

• Area = 1/2 base x height

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CCSS.6.G.A.1

What is the total surface area of the prism in the last example?

• 315 square units

• 355.7 square units

• 60 square units

• 540 square units

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CCSS.7.G.B.6

What is the value of 's' in Heron's formula for the last example?

• 7.5

• 21

• 15

• 10.5

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CCSS.6.G.A.1

What is the area of one triangle using Heron's formula in the last example?

• 315 square units

• 60 square units

• 40.66 square units

• 20.33 square units

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CCSS.6.G.A.1