Alina is building a roof for a dog house. She uses plywood to make the roof with the dimensions shown, but with an open bottom.

A net of a square pyramid has a square base with side lengths of 4 feet, and 4 triangular sides with heights of 3 feet.

How many faces will she need to consider when deciding the amount of shingles to buy for the roof?

faces

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Step-by-step explanation:

Alina is building a roof for a dog house with the dimensions shown. She uses plywood to make the roof with the dimensions shown, but with an open bottom.

A net of a square pyramid has a square base with side lengths of 4 feet, and 4 triangular sides with heights of 3 feet.

Find the surface area of the roof.

The area of each triangular face is  

✔ 6

ft2.

The surface area of the roof is  

✔ 24

ft2.

The surface area is 24 ft² and Alina need to consider four faces while buying shingles for the roof.

What is Surface Area of an Object ?

The surface area of a solid object is a measure of the total area that the surface of the object occupies.

Alina is building a roof for a dog house

A net of a square pyramid has a square base with side lengths of 4 feet, and 4 triangular sides with heights of 3 feet.

Find the surface area of the roof.

The surface area of each triangular face is  given by the formula

= (1/2) * base * height

= (1/2) * 4 * 3

= 6 ft²

The surface area of the roof is  

= 4 * 6

= 24 ft²

She'll need to consider 4 faces when buying shingles for roof .

To know more about Surface Area

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