Bradley made a house for his dog, Bowser, out of wood with a cube base and a triangular prism top. The dimensions of the dog house are a = 2 feet, b = 1 foot, and c = 1.4 feet. Note: Figure is not drawn to scale. If Bradley plans to paint the outside of the dog house blue, not including the bottom, how many square feet of paint will he use? A. 27.6 square feet B. 31.6 square feet C. 23.6 square feet D. 22.6 square feet Reset Submit

Respuesta :

Bradley will use the paint in square feet is 23.6 ft².  The correct option is C

What is surface area?

The area considered on the surface of the defined geometry is called the surface area.

Bradley made a house for his dog, Bowser, out of wood with a cube base and a triangular prism top. The dimensions of the dog house are a = 2 feet, b = 1 foot, and c = 1.4 feet.

Surface area of cube=4a²

S.A cube = 4 x 2²

S.A cube =16  ft²

Surface area of triangular prism=2[ac]+2[ab/2]

S.A prism = 2[2 x 1.4]+[ 2x 1]

S.A prism =7.6 ft²

Total paint required = S.A cube + S.A prism

                                 =16 ft²+7.6 ft²

                                 =23.6 ft²

Thus, the square feet of paint required is 23.6 ft². The correct option is C.

Learn more about surface area.

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