Surface Area and Area of Shapes

The video tutorial explains how to find the surface area of a triangular prism. It begins by identifying the characteristics of a triangular prism, such as having two parallel triangular faces. The tutorial then provides a detailed walkthrough of calculating the surface area by finding the area of each face, including rectangles and triangles, using given dimensions. Two examples are provided to illustrate the process, with the use of the Pythagorean theorem to find missing dimensions. The video concludes with a summary of the total surface area for each example.

What defines a triangular prism?

• It is a two-dimensional shape.

• It is a three-dimensional shape with circular bases.

• It has four rectangular faces.

• It has two parallel triangular faces.

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CCSS.6.G.A.4

How many faces does a triangular prism have?

• Four

• Three

• Six

• Five

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CCSS.3.MD.C.7B

CCSS.4.MD.A.3

What is the area of a rectangle with dimensions 5 by 4?

• 10 square units

• 20 square units

• 25 square units

• 30 square units

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CCSS.6.G.A.1

How do you calculate the area of a triangle?

• Base plus height

• Base times height

• Base minus height

• Base times height divided by two

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CCSS.8.G.B.7

What is the hypotenuse of a right triangle with sides 5 and 12?

• 12

• 10

• 15

• 13

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CCSS.7.G.B.6

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

• 150 square units

• 160 square units

• 180 square units

• 170 square units

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CCSS.2.G.A.1

What are the dimensions of the right triangle in the second example?

• 6 and 7

• 5 and 6

• 3 and 4

• 4 and 5

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CCSS.6.G.A.1

What is the area of one triangular base in the second example?

• 4 square units

• 6 square units

• 7 square units

• 5 square units

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CCSS.3.MD.C.7B

CCSS.4.MD.A.3

What is the area of a rectangle with dimensions 2 by 4?

• 6 square units

• 8 square units

• 10 square units

• 12 square units

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CCSS.7.G.B.6

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

• 34 square units

• 36 square units

• 32 square units

• 30 square units

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CCSS.7.G.B.6