Question

8 tall left side, 10 wide left side, 6 long total, 6 tall right side, 6 wide right side

What is the total surface area of the figure?

Answer 1

32 wide, 10 long, 8 tall base, with a 12 tall triangle ontop with two sides that are 20 wide and 10 long.

What is the total surface area of the figure?

Answer 2

To calculate the total surface area of the figure, we need to find the surface area of each side and then add them all together.

For the left side:
Surface area = 2 * height * width = 2 * 8 * 10 = 160

For the top and bottom sides:
Surface area = height * length = 6 * 6 = 36 (for each side, so total for both sides is 36 * 2 = 72)

For the right side:
Surface area = 2 * height * width = 2 * 6 * 6 = 72

Now, add all the surface areas together:
160 (left side) + 72 (top and bottom) + 72 (right side) = 304

Therefore, the total surface area of the figure is 304.

Answer 3

To calculate the total surface area of the figure, we need to find the surface area of each component and then add them all together.

Base:
Surface area = 2 * (length * width + length * height + width * height) = 2 * (32 * 10 + 32 * 8 + 10 * 8) = 2 * (320 + 256 + 80) = 2 * 656 = 1312

Triangle:
The triangular pyramid has three triangle faces and one rectangular face. The triangle face area is 0.5 * base * height. The rectangular face area is base * height.

Triangle face area = 0.5 * 20 * 12 = 120
Rectangular face area = 20 * 12 = 240
Total triangle face area = 3 * 120 = 360

Total Surface Area:
Base surface area + Triangle surface area = 1312 + 360 = 1672

Therefore, the total surface area of the figure is 1672.