Question

What is the surface area of the 3- dimensional shape 3 ft 3 ft 3 ft

A. 24 Square feet

B. 72 Square feet

C. 198 Square feet

D. 216 Square feet

Answer 1

c. 198 square feet

Explanation:

Based on the picture I'm thinking the length of each line segment is 3ft, so each 'tile' on the surface of the figure is 9sqft.

Looking at the figure from the front and back you would see 4 tiles from each direction, same from the top and bottom (so far we have front + back + top + bottom = 4 + 4 + 4 + 4 = 16 tiles)

Looking directly from either side you would see 3 tiles each way, for 6 more tiles total, so the total number of tiles covering the figure is 16 + 6 = 22 tiles

Each tile is 9sqft, so total area is 22(9) = 198 sqft