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Surface Area 3D shapes

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Square Pyramid Triangular Prism Square Prism Rectangular Prism Rectangular Pyramid Basic rules Basic concept Cylinder Cone Sphere Hemisphere © Rosemary Vellar Excel challenge Instructions for use There are 9 worked examples shown in this PowerPoint A red dot will appear top right of screen to proceed to the next slide. Click the navigation bar to the left of screen to access relevant slides.

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Square Pyramid Triangular Prism Square Prism Rectangular Prism Rectangular Pyramid Basic rules Basic concept Cylinder Cone Sphere Hemisphere © Rosemary Vellar Excel challenge 3 easy steps to calculate the Surface Area of a solid figure 1.Determine the number of surfaces and the shape of the surfaces of the solid 2.Apply the relevant formula for the area of each surface 3.Sum the areas of each surface

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Square Pyramid Triangular Prism Square Prism Rectangular Prism Rectangular Pyramid Basic rules Basic concept Cylinder Cone Sphere Hemisphere © Rosemary Vellar Excel challenge Surface Area – Basic concept Determine the number and shape of the surfaces that make up the solid. It might be easier to think of the net of the solid. square rectangle square rectangle 4 rectangular faces and 2 square faces When you’ve done all that find the area of each face and then find the total of the areas.

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Square Pyramid Triangular Prism Square Prism Rectangular Prism Rectangular Pyramid Basic rules Basic concept Cylinder Cone Sphere Hemisphere © Rosemary Vellar Excel challenge Square prism 18 cm Two square faces Find the surface area of this figure with square base 5 cm and height 18 cm 5 cm Four rectangular faces

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Square Pyramid Triangular Prism Square Prism Rectangular Prism Rectangular Pyramid Basic rules Basic concept Cylinder Cone Sphere Hemisphere © Rosemary Vellar Excel challenge Rectangular prism 5 cm 15 cm 20 cm Now sum these areas Find the surface area of this figure with length 10 cm, width 15 cm and height 12 cm.

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Square Pyramid Triangular Prism Square Prism Rectangular Prism Rectangular Pyramid Basic rules Basic concept Cylinder Cone Sphere Hemisphere © Rosemary Vellar Excel challenge Triangular Prism 12 cm 20 cm 10 cm Hence, total surface area Find the surface area of this figure with dimensions as marked. 12 cm 10 cm 6 8 Use Pythagoras’ theorem to find the height of the triangle! Determine the number of faces and the shape of each face Apply the area formulae for each face Sum the areas to give the total surface area

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Square Pyramid Triangular Prism Square Prism Rectangular Prism Rectangular Pyramid Basic rules Basic concept Cylinder Cone Sphere Hemisphere © Rosemary Vellar Excel challenge Square Pyramid Find the surface area of this figure with square base 10 cm and height 12 cm. 4 triangular faces with the same dimensions and 1 square face We need to find the height of each triangular face. 12 5 R T 10 Use Pythagoras’ theorem to find the height of the triangular face. 13 10 13 T R P Each triangular face will have base 10 cm and height 13 cm. 12 Hence, total surface area

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Square Pyramid Triangular Prism Square Prism Rectangular Prism Rectangular Pyramid Basic rules Basic concept Cylinder Cone Sphere Hemisphere © Rosemary Vellar Excel challenge Rectangular Pyramid 10 cm P Q 12 cm 8 cm R S T V 5 8 6 8 5 faces altogether: 2 pairs of congruent triangular faces 1 rectangular face Hence, total surface area 10 First find the unknown heights using Pythagoras’ theorem 89 12 Find the surface area of this figure with dimensions as marked.

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Square Pyramid Triangular Prism Square Prism Rectangular Prism Rectangular Pyramid Basic rules Basic concept Cylinder Cone Sphere Hemisphere © Rosemary Vellar Excel challenge Cylinder Find the surface area of this cylinder with height 25 cm and diameter 20 cm. Required formula: 20 25 cm Curved surface h Think of the net of the cylinder to understand the formula. Hence, total surface area

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Square Pyramid Triangular Prism Square Prism Rectangular Prism Rectangular Pyramid Basic rules Basic concept Cylinder Cone Sphere Hemisphere © Rosemary Vellar Excel challenge Cone Find the surface area of this cone of height 15 cm radius 5 cm. Required formula l refers to the slant height Total surface area: 5 15 l Use Pythagoras’ theorem Now sum these areas l Consider the net of the cone Now calculate the areas.

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Square Pyramid Triangular Prism Square Prism Rectangular Prism Rectangular Pyramid Basic rules Basic concept Cylinder Cone Sphere Hemisphere © Rosemary Vellar Excel challenge Sphere Find the surface area of this sphere with diameter 5 cm. Required formula Easy! The sphere is one continuous surface so just substitute into the formula

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Square Pyramid Triangular Prism Square Prism Rectangular Prism Rectangular Pyramid Basic rules Basic concept Cylinder Cone Sphere Hemisphere © Rosemary Vellar Excel challenge Hemisphere A hemisphere is a half sphere. But we need to add in the area of the circular base. Find the surface area of this hemisphere with diameter 5 cm. Required formula Total surface area:

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Square Pyramid Triangular Prism Square Prism Rectangular Prism Rectangular Pyramid Basic rules Basic concept Cylinder Cone Sphere Hemisphere © Rosemary Vellar Excel challenge Last slide Use the navigation buttons to repeat selected slides.

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