 Mathematics
31 August, 21:56

# Which could be the dimensions of a rectangular prism whose surface area is less than 160 square feet? Select8 feet by 4 feet by 3 feet7 feet by 6 feet by 4 feet3 feet by 7 feet by 8 feet3 feet by 6 feet by 7 feet3 feet by 5 feet by 7 feet

+1
1. 31 August, 22:52
0
The dimensions of the rectangular prism could be 8 feet by 4 feet by 3 feet or 3 feet by 5 feet by 7 feet.

Step-by-step explanation:

The formula for the surface area of the rectangular prism is given by,

⇒ 2lw + 2wh + 2hl

where l is length, w is width and h is the height.

Now, check for each given options whether the surface area is less than 160 or not.

8 feet by 4 feet by 3 feet

⇒ 2 (8*4) + 2 (4*3) + 2 (3*8)

⇒ 64 + 24 + 48

⇒ 136 (less than 160)

7 feet by 6 feet by 4 feet

⇒ 2 (7*6) + 2 (6*4) + 2 (4*7)

⇒ 84 + 48 + 56

⇒ 188 (Not less than 160)

3 feet by 7 feet by 8 feet

⇒ 2 (3*7) + 2 (7*8) + 2 (8*3)

⇒ 42 + 112 + 48

⇒ 202 (Not less than 160)

3 feet by 6 feet by 7 feet

⇒ 2 (3*6) + 2 (6*7) + 2 (7*3)

⇒ 36 + 84 + 42

⇒ 162 (Not less than 160)

3 feet by 5 feet by 7 feet

⇒ 2 (3*5) + 2 (5*7) + 2 (7*3)

⇒ 30 + 70 + 42

⇒ 142 (less than 160)