Question
If the volume of a right rectangular prism is 1.5 in.? and its length and width have a product of 1.5 in.?, what is the height of this prism? (1 point)
Item 1
COURSE TOOLS
In.
Item 1
COURSE TOOLS
In.
Answers
GPT 3.5
To find the height of the 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 of the prism is 1.5 in.³ and the product of the length and width is also 1.5 in.², we can write the following equations:
1.5 = length x width x height (1)
1.5 = length x width (2)
From equation (2), we can see that the length and width are both 1 in. since their product is 1.5 in.².
Substitute the values of length and width into equation (1):
1.5 = 1 x 1 x height
1.5 = height
Therefore, the height of the prism is 1.5 inches.
Given that the volume of the prism is 1.5 in.³ and the product of the length and width is also 1.5 in.², we can write the following equations:
1.5 = length x width x height (1)
1.5 = length x width (2)
From equation (2), we can see that the length and width are both 1 in. since their product is 1.5 in.².
Substitute the values of length and width into equation (1):
1.5 = 1 x 1 x height
1.5 = height
Therefore, the height of the prism is 1.5 inches.