ingramjazmine9
Answered

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Find the surface area 9 cm 6 cm 6 cm​

Find The Surface Area 9 Cm 6 Cm 6 Cm class=

Sagot :

Answer:

144cm²

Step-by-step explanation:

The surface area of a shape = area of all the sides added together

area of bottom side (square) = 6 x 6 = 36

area of triangles = [tex]\frac{1}{2}[/tex] x 6 x 9 = 27

27 x 4 =108

108 + 36 = 144

igoroleshko156

Answer:

[tex]A_{total} = 144\ cm^2[/tex]

Step-by-step explanation:

Step 1:  Determine the area of the bottom square

[tex]A = l * w[/tex]

[tex]A = 6\ cm * 6\ cm[/tex]

[tex]A = 36\ cm^2[/tex]

Step 2:  Determine the area of the triangle

[tex]A= \frac{h *b}{2}[/tex]

[tex]A=\frac{9\ cm * (6\ cm/2)}{2}[/tex]

[tex]A=\frac{9\ cm * 3\ cm}{2}[/tex]

[tex]A=13.5\ cm^2[/tex]

Since we have two of these right triangles on each side we come out to having 8 of these triangles total since we have 4 sides.  We multiply 8 by our area from one triangle.

[tex]A=13.5\ cm^2*8[/tex]

[tex]A = 108\ cm^2[/tex]

Step 3:  Determine the surface area

[tex]A_{total} = 36\ cm^2 + 108\ cm^2[/tex]

[tex]A_{total} = 144\ cm^2[/tex]

Answer:  [tex]A_{total} = 144\ cm^2[/tex]

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