Question
If the volume of a right rectangular prism is 2.8in.3 and its length and width have a product of 2.8 in.2, what is the height of this prism?
7.84 in.
5.6 in.
1 in.
6 in.
7.84 in.
5.6 in.
1 in.
6 in.
Answers
GPT 3.5
1 in.
To find the height, we first need to find the length and width of the prism. Since the length multiplied by the width equals 2.8 in^2, the length and width could be any combination of numbers that multiply to 2.8 in^2.
One such combination could be 1 in and 2.8 in.
Now, to find the height, we use the formula for the volume of a rectangular prism:
Volume = length x width x height
2.8 in^3 = 1 in x 2.8 in x height
height = 2.8 in / (1 in x 2.8 in)
height = 2.8 in / 2.8 in^2
height = 1 in
Therefore, the height of the prism is 1 in.
To find the height, we first need to find the length and width of the prism. Since the length multiplied by the width equals 2.8 in^2, the length and width could be any combination of numbers that multiply to 2.8 in^2.
One such combination could be 1 in and 2.8 in.
Now, to find the height, we use the formula for the volume of a rectangular prism:
Volume = length x width x height
2.8 in^3 = 1 in x 2.8 in x height
height = 2.8 in / (1 in x 2.8 in)
height = 2.8 in / 2.8 in^2
height = 1 in
Therefore, the height of the prism is 1 in.