Question

Please answer ASAP! :)

What is the slant height if the surface area is 243 square centimeters?

8 cm
10 cm
11 cm
9 cm

Answer 1

The answer is 9cm

SA = r + r 2

452.16 m 2 = (3.14)(6 m)(x) + (3.14)(6 m) 2

452.16 m 2 = (3.14)(6 m)(x) + (3.14)(36 m 2)

452.16 m 2 = (18.84 m)x + 113.04 m 2

339.12 m 2 = (18.84 m)x

18 m = x

Answer 2

Option D. 9 cm

Explanation:

Surface area of the given figure is S = 243 cm² and we have to find the slant height.

We can see this figure comprises of 1 square and 4 triangles.

Let the slant height of the given triangles is L.

So area of one triangle =
`(1)/(2)(Slant height).(Base)`

and the area of square = side² = 9² = 81 cm²

Now surface area of total figure = Area of square + 4×(area of a triangle)

`243=9^(2)+(4)/(2)(9.L)`

243 = 81 + 2×9L

18L = 243 - 81 = 162

`L=(162)/(18)`

L = 9 cm

Therefore Option D. 9 cm is the correct answer.