Question

A square pyramid is shown below: A square pyramid is shown. The sides of the square base are labeled 0.8 foot. The height of one of the triangular sides is labeled 6 feet. What is the surface area of the pyramid? 4.41 square feet 5.44 square feet 1.84 square feet 10.24 square feet

Answer 1

You would multiply the Area of a square which is B x H the Area for the square is 0.8 x 0.8 = 0.64

Then you multiply the Area of a triangle and the Area of a triangle is B x H divided by 2 and so you multiply the number of triangles there are which is 0.8 x 6 = 4.8 then divide that by 2 which is 2.4 then multiply that with the number of triangles we have all together. there are 4 triangles.

Multiply 2.4 x 4 = 9.6 then add the Area of the square which is 0.64 + 9.6 and the answer is 10.24

Hope this helps

Answer 2

10.24 square feet

Explanation:

The area of one triangular face is ...

A = (1/2)bh = (1/2)(0.8 ft)(6 ft) = 2.4 ft²

Then the four triangular faces will have a total area of ...

lateral area = 4·(2.4 ft²) = 9.6 ft² . . . . . sufficient to help you choose the correct answer

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The area of the square base is the square of the side length:

base area = (0.8 ft)² = 0.64 ft²

Then the total surface area is ...

surface area = lateral area + base area

surface area = 9.6 ft² + 0.64 ft² = 10.24 ft²