Mathematics Middle School

surface area of composite figures

Surface Area Of Composite Figures

Answers

Answer 1

Answer:

408 cm²

Step-by-step explanation:

You can find the total area by dividing the figure into two different parts.  You have one large rectangle and two smaller triangles that have the same given dimensions, meaning that the triangles will have the same area.  Find the area for the divided figures first.

Rectangle

The length is 24 cm (6 + 8 + 10).  The width is 15 cm.

A = lw

A = (24 cm)(15 cm)

A = 360 cm²

Triangle

The height is 6 cm.  The base is 8 cm.

A = 1/2bh

A = 1/2(6)(8)

A = 3(8)

A = 24 cm²

Now, add the areas together.  Since there are two triangles, make sure to account for that in your calculations.

360 cm²  +  24 cm²  +  24 cm²  =  408 cm²

Answer 2

Answer:

408 cm^2

Step-by-step explanation:

You would just find the surface area of all of the shapes and then add them all together so for the 2 triangles you would just multiply 6 and 8 and divide by 2 so you would get 24 for both of then so then you would find the area of all of the rectangles so for the smallest one you would do 15 times 6 which is 90 then you would multiply 15 and 8 for the middle triangle and that would be 120 and for the last rectangle, you would multiply 15 and 10 which is 150 and then you would add all of them up. The numbers would be 24,24,90,120,150 and when you add them up you would get 408 cm^2

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