Question

Find the surface area 9 cm 6 cm 6 cm​

Answer 1

144cm²

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 =
`(1)/(2)` x 6 x 9 = 27

27 x 4 =108

108 + 36 = 144

Answer 2

`A_(total) = 144\ cm^2`

Explanation:

Step 1: Determine the area of the bottom square

`A = l * w`

`A = 6\ cm * 6\ cm`

`A = 36\ cm^2`

Step 2: Determine the area of the triangle

`A= (h *b)/(2)`

`A=(9\ cm * (6\ cm/2))/(2)`

`A=(9\ cm * 3\ cm)/(2)`

`A=13.5\ cm^2`

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.

`A=13.5\ cm^2*8`

`A = 108\ cm^2`

Step 3: Determine the surface area

`A_(total) = 36\ cm^2 + 108\ cm^2`

`A_(total) = 144\ cm^2`

Answer:
`A_(total) = 144\ cm^2`