Question

10.If Zoe paints the outside faces of

her shed and tho roof. what is the
total surface area that she paints?
CA


A. 130 p2
B. 155 p2
C. 180 02
D. 205 pp

Answer 1

Explanation:

Area of one side of the shed

5*4=20

she painted 4 sides so 20*4 =80

Triangle that is part of the pyramid as the roof of the shed has a side of 5. Using the Pythagorean theorem,

`{5}^(2) - {2.5}^(2) =18.75`

we need to find the square root of 18.75 to find the height of the triangle which is

`√(18.75) = 4.330127019`

that is the height

(base x height) /2 is the formula for a right triangle. there are 2 of these right triangles per side of the roof. so we need to multiply the numbers by 8

`(2.5 * 4.330127019)/(2) * 8`

this number gives us 43.30127019

we can finally add that number to 80 to get the total surface area Zoe painted which is 123.3012702