Which could be the dimensions of a rectangular prism whose surface area is less than 160 square feet? Select two options.

8 feet by 4 feet by 3 feet
7 feet by 6 feet by 4 feet
3 feet by 7 feet by 8 feet
3 feet by 6 feet by 7 feet
03 feet by 5 feet by 7 feet

The only ones that apply have an surface area less than 160 feet³ are the option 1) and 5).

Step-by-step explanation:

The surface area of a rectangular prism is given by the formula below:

surface area = 2*length*width + 2*length*height + 2*width*height

In this case the prism has less than 160 square feet, therefore when we apply the data from each option the values must be less than that. We have:

1) surface area = 2*8*4 + 2*8*3 + 2*4*3 = 136 feet³

2) surface area = 2*7*6 + 2*7*4 + 2*6*4  = 188 feet³

3) surface area = 2*3*7 + 2*3*8 + 2*7*8 = 202 feet³

4) surface area = 2*3*6 + 2*3*7 + 2*6*7 = 162 feet³

5) surface area = 2*3*5 + 2*3*7 + 2*5*7 = 142 feet³

The only ones that apply have an surface area less than 160 feet³ are the option 1) and 5).

the answer is 2/54

step-by-step explanation:

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