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A rectangular prism or cuboid is formed by folding a net as shown: We can see from the net that there are two rectangles with dimensions 3 cm by 6 cm, two rectangles with dimensions 2 cm by 6 cm and two rectangles with dimensions 2 cm by 3 cm. The total surface area is then. 2 × 3 × 6 + 2 × 2 × 6 + 2 × 2 × 3 = 72 cm 2.

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WorKeD eXamPLe 5 Find the total surface area of the square‐based pyramid shown. tHInK 5 cm 6 cm WrIte/DraW 1 There are five faces: The square 3 Draw and label one triangular face and write the formula for finding its area. Area of base = l2, where l = 6 Area of base = 62 = 36 cm2 h 5 cm 3 cm...

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Surface area and volume of a: rectangular prism SA = 2lw + 2lh + 2wh V = lwh right prism SA = ph + 2B V = Bh cylinder SA = 2πrh + 2πr2 V = πr2h pyramid SA = !! ps + B V = ! Bh cone 2SA = πrs + πr2!V = ! πr h sphere 3SA = 4πr2 V = !! πr (p = perimeter of base with area B; π≈3.14) Data mean mean is equal to the total of the values of a ...

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The following formula gives you the surface area of a cone. Here’s a little more background on the lateral area: The lateral area of a cone is one “triangle” that’s been rolled into a cone shape like a snow-cone cup (it’s only kind of a triangle because when flattened out, it’s actually a sector of a circle with a curved bottom side).

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9.6 Surface Area and Volume of Spheres 523 Surface Area Find the surface area of the solid. If necessary, round your answer to the nearest whole number. (Lessons 9.2, 9.3) 47. A cone has a height of 12 meters and a base radius of 3 meters. 48. A pyramid has a slant height of 3 feet and a square base that measures 4 feet on a side. 49.

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The surface area of this pyramid is equal to the area of the square base plus the areas of each of the four triangular sides. We are given the base and height of the triangular faces. We can use and plug in 3 and 6, giving us . Because the base of the triangular faces is equal to 3, we know the area of the square base is .

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In a three dimensional space, square pyramid is a polyhedron with square as its base. It is a pyramid with four triangular sides, five vertices, and eight edges. All the triangular faces (that is side faces) connect together at the common point right above the base and is known as apex. Surface area refers to the total outer surface of the shape.