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Find the surface area of the composite figure​

Find the surface area of the composite figure​-example-1
User Cavpollo
by
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1 Answer

4 votes

Answer:

276 cm^2

Explanation:

Separate figure into triangular and rectangular prisms.

SA of triangular prism (finding each area of a face and add them all up)

4 x 5 = 20 cm^2

13 x 4 = 52 cm^2

1/2 x 12 x 5 = 30 cm^2

1/2 x 12 x 5 = 30 cm^2

20 + 52 + 30 + 30 = 132 cm^2

SA of triangular prism is 132 cm^2

SA of rectangular prism (do the same thing):

12 x 4 = 48 cm^2

12 x 3 = 36 cm^2

12 x 3 = 36 cm^2

3 x 4 = 12 cm^2

3 x 4 = 12 cm^2

48 + 36 +36 + 12 + 12 = 144

Add the SA OF BOTH PRISMS:

144 + 132 = 276 cm^2

User Sijmen Mulder
by
4.7k points