Question

so there is this thing on edulastic I'm having trouble with, here is the image

Answer 1

Answer:

Area = 72m²

Step-by-step explanation:

A Prism is a combination of 2 triangular and 3 rectangular faces. If you take 3 rectangular sheets and join them forming a triangle and place two triangular sheets in place of empty space, a prism is thus formed hypothetically(hollow from inside).

Now, in the figure, we are given the dimensions of the rectangles and triangles, and we know that Surface Area is the sum of all the individual areas that are included in that particular object, thus for the surface area of prism, we need to have the areas of the 3 rectangles and 2 triangles.

Now, from the elementary geometry, we know:

Area of rectangle = length × breadth.

Area of triangle = 1/2(length×breadth)

Thus, we find individual areas of all the sides.

The rest of the work is attached here.