Question

1. calculate the surface area of the shape. (count all of the faces and multiply by 2!)

Explanation:

Step1: Count front - back faces

The front and back views have 7 faces each. So in total for front - back, there are $7\times2 = 14$ faces.

Step2: Count left - right faces

The left view has 5 faces and the right view has 5 faces. So in total for left - right, there are $5\times2=10$ faces.

Step3: Count top - bottom faces

The top view has 3 faces and the bottom view has 3 faces. So in total for top - bottom, there are $3\times2 = 6$ faces.

Step4: Calculate total surface area

Add up all the face - counts: $14 + 10+6=30$ faces.

Answer:

30