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# surface area

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Find the surface area of this composite figure. Mar 11, 2021

### Best Answer

#1
+2

The square prism base is      4 x 4   x   5 2          ( 5 sides)

Need to find the HEIGHT of the triangles

Pythag therom    (drop a bisector from the tip the the middle of the sidelength to form a rt triangle)  )

2 ^2 + h^2 = 6^2

h^2 = 32

h = sqrt 32

FOUR triangles   base = 4    height = sqrt 32     area = 1/2 b h

4 *      1/2  4 * sqrt 32   = 8 sqrt 32 = 45.25   cm2

Now add the reds to finish.......

Mar 11, 2021

### 1+0 Answers

#1
+2
Best Answer

The square prism base is      4 x 4   x   5 2          ( 5 sides)

Need to find the HEIGHT of the triangles

Pythag therom    (drop a bisector from the tip the the middle of the sidelength to form a rt triangle)  )

2 ^2 + h^2 = 6^2

h^2 = 32

h = sqrt 32

FOUR triangles   base = 4    height = sqrt 32     area = 1/2 b h

4 *      1/2  4 * sqrt 32   = 8 sqrt 32 = 45.25   cm2

Now add the reds to finish.......

ElectricPavlov Mar 11, 2021