Question

Please help calculate the surface area

Answer 1

200
`cm^(2)`

Explanation:

SA = LA + 2B where LA is the lateral area and B is the area of the base(triangle)

LA = ph p = perimeter of base and h = distance between bases

LA = (5 + 5 + 6)11 = 176

B = bh/2 = 6(4)/2 = 12

SA = 176 + 2(12) = 176 + 24 = 200
`cm^(2)`

Answer 2

SA = 189 cm^2

Explanation:

What you're going to want to do is calculate the surface area of each type of side (triangle or rectangle) then add them up accordingly!

Starting with triangles: area = 1/2 * l * h

So, in this scenario its (1/2) * 6 * 4 , or half of 24, which is 12 cm^2

Since we have two triangular sides, that totals to 24 cm^2.

Then the rectangular sides: area = l*h

so, 5*11 = 55 cm^2

We have three rectangular sides, totalling 165 cm^2

165+24 = 189 cm^2