Question
A rectangular prism has a volume of 252 cubed inches.
Answers
GPT 3.5
To find the dimensions of the rectangular prism, we can use the formula for the volume of a rectangular prism, which is:
Volume = length x width x height
Given that the volume is 252 cubic inches, we need to find three numbers whose product equals 252. One way to do this is by finding the factors of 252:
1 x 252 = 252
2 x 126 = 252
3 x 84 = 252
4 x 63 = 252
6 x 42 = 252
7 x 36 = 252
9 x 28 = 252
12 x 21 = 252
14 x 18 = 252
So, the possible dimensions for the rectangular prism are:
Length x Width x Height
1 x 1 x 252
1 x 2 x 126
1 x 3 x 84
1 x 4 x 63
1 x 6 x 42
1 x 7 x 36
1 x 9 x 28
1 x 12 x 21
1 x 14 x 18
2 x 3 x 42
2 x 6 x 21
2 x 7 x 18
2 x 9 x 14
3 x 7 x 12
3 x 9 x 8
4 x 7 x 9
These are all the possible dimensions that have a volume of 252 cubic inches.
Volume = length x width x height
Given that the volume is 252 cubic inches, we need to find three numbers whose product equals 252. One way to do this is by finding the factors of 252:
1 x 252 = 252
2 x 126 = 252
3 x 84 = 252
4 x 63 = 252
6 x 42 = 252
7 x 36 = 252
9 x 28 = 252
12 x 21 = 252
14 x 18 = 252
So, the possible dimensions for the rectangular prism are:
Length x Width x Height
1 x 1 x 252
1 x 2 x 126
1 x 3 x 84
1 x 4 x 63
1 x 6 x 42
1 x 7 x 36
1 x 9 x 28
1 x 12 x 21
1 x 14 x 18
2 x 3 x 42
2 x 6 x 21
2 x 7 x 18
2 x 9 x 14
3 x 7 x 12
3 x 9 x 8
4 x 7 x 9
These are all the possible dimensions that have a volume of 252 cubic inches.