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Find the surface area of the prism.

Find the surface area of the prism.-example-1

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Answer:

160 m²

Explanation:

The surface area of the prism is the sum of the area of its surfaces. This prism has 5 surfaces, namely the front, back, right, left and bottom surface.

Area of front surface

Area of triangle= ½ ×base ×height

Base= 6 m

Height= 4 m

Area= 6(4)= 24 m²

Area of back surface

Area of back surface

= area of front surface

= 24 m²

Area of right surface

Area of rectangle= length ×breadth

Length= 7 m

Breadth= 5 m

Area= 7(5)= 35 m²

Area of left surface

Area of left surface

= area of right surface

= 35 m²

Area of bottom surface (base of prism)

Area of rectangle= length ×breadth

Length= 7 m

Breadth= 6 m

Area= 6(7)= 42 m²

The total surface area can be found by adding all of the surface areas we have found earlier.

Total surface area

= 24 +24 +35 +35 +42

= 160 m²

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