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Big Ideas Math: Modeling Real Life, Grade 6

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Big Ideas Math: Modeling Real Life, Grade 6 View details

Practice Test

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Exercise 4 Page 338

Use the net of a solid to find the surface area of the triangular prism.

270ft^2

We want to calculate the surface area of a triangular prism. Let's see the given measurements of the prism.

We can use a net to calculate the surface area of the prism. Let's see the net!

The net is made up of rectangles and triangles. Let's calculate the area of each polygon separately, starting with the rectangles.

Rectangular Face	Length l	Width w	Area=l * w
Bottom	12	7	12* 7=84ft^2
Left Side	13	7	13* 7=91ft^2
Right Side	5	7	5* 7=35ft^2

Now let's take a look at the triangles. Note that the front and back of the prism are congruent triangles. This means that they have the same area. Let's substitute the measures of the front and back into the formula for the area of a triangle!

A=1/2b* h

b= 12, h= 5

A=1/2* 12* 5

Multiply

A=30

We found that the area of one triangle is 30 square feet. Since the triangles are congruent, that means that the area of each triangle is 30 square feet. Now we have all the information that we need to find the total surface area of the triangular prism. Total Surface Area 84+ 91+ 35+ 30+ 30=270ft^2 The total surface area of the triangular prism is 270 square feet.

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