Answer:
216 :)
Step-by-step explanation:
There are five sides in total. To find the total surface area we have to find the area of each side.
Let's start off easy with the rectangle at the base. The width and length are 7 and 6, which gives us an area of 42.
The rectangle with dimensions of 8 as the length and 7 as the width gives us an area of 56.
The rectangle with a length of 10 and a width of 7 gives us 70 as an area.
The two triangles are congruent, so all we have to do is find the area of one and multiply it by two. The formula for an area of a triangle is 1/2(bxh)-or the two legs multiplied by each other and then divided by 2. The length of one of the legs is 8, and the other is 6. That gives us 48, which we will then divide by 2 to give us a total area of 24. Now we have to multiply that by two because there are two triangle sides on this figure and they are congruent. That gives us a product of 48.
Now we add up all the areas of each side:
42 + 56 + 70 + 48 = 216
