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Big Ideas Math: Modeling Real Life, Grade 6

BI

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

6. Surface Areas of Pyramids

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Exercise 15 Page 323

Use a net to find the surface area of the square pyramid.

119 square inches

Practice makes perfect

We want to calculate the surface area of a square pyramid. Let's see the given pyramid.

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

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

A=s^2

s= 7

A= 7^2

Calculate power

A=49

The area of the square base is 49 square inches. Now let's take a look at the triangles. Notice that the sides of the pyramid are congruent triangles. This means that they have the same area. Let's substitute the measures of the sides into the formula for the area of a triangle!

A=1/2b h

b= 7, h= 5

A=1/2* 7* 5

Multiply

A=17.5

We found that the area of one triangle is 17.5 square inches. Since the triangles are congruent, the area of each triangle is 17.5 square inches. Now we have all the information that we need to find the total surface area of the square pyramid! Total Surface Area 49+ 17.5+ 17.5+ 17.5+ 17.5=119in.^2 The total surface area of the square pyramid is 119 square inches.

Subchapter links

Try It p.320-321

Self-Assessment for Concepts & Skills p.321

Self-Assessment for Problem Solving p.322

Review & Refresh p.323

Concepts, Skills, & Problem Solving p.323-324