Julia drew and labeled the net shown. She also calculated and labeled the areas of the left and right triangular sides A rectangular pyramid. The rectangular base has a length of 8 meters and width of 5 meters. The triangular sides have an area of 14.75 meters squared. Use Julia's work and finish finding the areas of the faces. What is the surface area of the rectangular pyramid?

Respuesta :

Answer:

109.5

Step-by-step explanation:

The surface area of the rectangular pyramid is 109.5 meters²

The net has a rectangle at the center. The area of the rectangle is expressed as

Area = length × width

Area of the rectangle = 8 × 5 = 40 inches²

The formula for determining the area of each triangular face is expressed as,

What is the area of the triangle?

Area = 1/2 × base × height

The area of each face of the triangle that has a base of 8meters and a height of 5meters is

Area = 1/2 × 8 × 5 = 20 meters²

The surface area of the rectangular pyramid is

Area of the rectangle at the center + area of the four triangular faces

Therefore, The surface area of the rectangular pyramid =

40 + 2(20) + 2(14.75) = 109.5 meters²

Therefore, The surface area of the rectangular pyramid is 109.5 meters².

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