Question

10.If Zoe paints the outside faces of

Answer 1

Step-by-step 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

$\sqrt{18.75} = 4.330127019$

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

$\frac{2.5 \times 4.330127019}{2} \times 8$

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