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What is the surface area of the right prism below?

What is the surface area of the right prism below?-example-1
User Guinny
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1 Answer

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Answer:

Surface area of the right prism = 156 square units

Explanation:

Surface area of prism = area of 2 triangle + area of three rectangles

To find the area of triangles

Here base b = 4 units and height h = 3 units

Area of triangle = bh/2

= (4 * 3)/2 = 6 square units

Area of 2 rectangles = 2 * 6 = 12 units

To find the area of rectangles

length of rectangle = 12 units,

Here 3 rectangles with 3 different width

width1 = √(4² + 3²) = 5 units

width2 = 4 units and width3 = 3 units

Area1 = Length * width1

= 12 * 5 = 60 square units

Area1 = Length * width2

= 12 * 4 = 48square units

Area1 = Length * width3

= 12 * 3 = 36 square units

Total area of three rectangles = 60 + 48 + 36 = 144

To find the surface area of prism

Surface area = Area of triangles + area of rectangles

= 12 + 144 = 156 square units

User Sam Chaudhari
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