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4 3 You correctly chose a square pyramid. Now, find the area of the faces of the pyramid. 3 ft 2 4 ft 3 ft What is the area of the triangles? (x4) Triangles: [?] ft2 102 Square: Total Surface Area: Enter

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4 3 You correctly chose a square pyramid. Now, find the area of the faces of the pyramid-example-1

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Answer:

  • triangles: 24 ft²
  • square: 9 ft²
  • total surface area: 33 ft²

Explanation:

You want the lateral area, base area, and total area of a square pyramid with a base 3 ft on a side and a slant height of 4 ft.

Triangle area

The area of one triangle is ...

A = 1/2bh

A = 1/2(3 ft)(4 ft) = 6 ft²

Then the area of the four triangular faces is ...

area of triangles = 4×6 ft² = 24 ft²

Base

The area of the square base is ...

A = s²

A = (3 ft)² = 9 ft²

The area of the square base is 9 ft².

Total

The total surface area is the sum of the lateral area and the base area:

total surface area = area of triangles + area of square = 24 ft² +9 ft²

total surface area = 33 ft²

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