Question

which figure has a surface area of 22 square units? press the hotspot(s) that show a figure with a surface area of 22 square units and press the answer box(es) to save your selection. a b c d various three - dimensional shapes made from 5 cubes.

Explanation:

Step1: Assume side - length of each cube is 1 unit.

Each face of a cube has an area of 1 square unit.

Step2: Count the number of exposed faces for figure A.

For figure A, count the faces on the front, back, left, right, top and bottom. There are 6 + 6+ 4 + 4+ 1+1 = 22 exposed faces.

Step3: Count the number of exposed faces for figure B.

For figure B, the number of exposed faces is 4+4 + 4+4+ 3+3=22 exposed faces.

Step4: Count the number of exposed faces for figure C.

For figure C, the number of exposed faces is 1+1+4+4 + 5+5 = 20 exposed faces.

Step5: Count the number of exposed faces for figure D.

For figure D, the number of exposed faces is 5+5+4+4+ 3+3 = 24 exposed faces.

Answer:

A. The first figure, B. The second figure