Question

1. compare the surface areas of figure a and figure b. explain your thinking.

Explanation:

Step1: Assume each cube face has area 1.

Count the number of exposed cube - faces for each figure.

Step2: For Figure A

Count the front - back, left - right, and top - bottom exposed faces. Front and back: 6 each, left and right: 4 each, top and bottom: 3 each. Total surface area \(S_A=(6 + 6+4 + 4+3 + 3)=26\).

Step3: For Figure B

Count the front - back, left - right, and top - bottom exposed faces. Front and back: 6 each, left and right: 4 each, top and bottom: 3 each. Total surface area \(S_B=(6 + 6+4 + 4+3 + 3)=26\).

Answer:

The surface areas of figure A and figure B are equal.