Question
If the volume of a right rectangular prism is 2.8 in.3 and its length and width have a product of 2.8 in.2, what is the height of this prism?
A. 7.84 in.
B. 5.6 in.
C. 1 in.
D. 6 in.
A. 7.84 in.
B. 5.6 in.
C. 1 in.
D. 6 in.
Answers
GPT 3.5
C. 1 in.
Given that the volume of the prism is 2.8 in^3 and the product of the length and width is 2.8 in^2, we can use the formula for the volume of a rectangular prism:
Volume = Length x Width x Height
We are given that the volume is 2.8 in^3 and that the product of the length and width is 2.8 in^2. We can rearrange the formula to solve for the height:
Height = Volume / (Length x Width)
Height = 2.8 / 2.8
Height = 1 in.
Therefore, the height of the prism is 1 inch.
Given that the volume of the prism is 2.8 in^3 and the product of the length and width is 2.8 in^2, we can use the formula for the volume of a rectangular prism:
Volume = Length x Width x Height
We are given that the volume is 2.8 in^3 and that the product of the length and width is 2.8 in^2. We can rearrange the formula to solve for the height:
Height = Volume / (Length x Width)
Height = 2.8 / 2.8
Height = 1 in.
Therefore, the height of the prism is 1 inch.
show your work
GPT 3.5
Let the length of the prism be L, the width be W, and the height be H.
Given:
Volume = 2.8 in^3
Length x Width = 2.8 in^2
Since the volume of a rectangular prism is given by V = L x W x H, and we are given the volume as 2.8 in^3, we have:
2.8 = L x W x H
Also, we are given that the product of the length and width is 2.8 in^2, which gives us:
L x W = 2.8
Now, we can use the given values to find the height of the prism. We can rewrite the equation for volume in terms of height:
H = 2.8 / (L x W)
H = 2.8 / 2.8
H = 1 in
Therefore, the height of the prism is 1 inch.
Given:
Volume = 2.8 in^3
Length x Width = 2.8 in^2
Since the volume of a rectangular prism is given by V = L x W x H, and we are given the volume as 2.8 in^3, we have:
2.8 = L x W x H
Also, we are given that the product of the length and width is 2.8 in^2, which gives us:
L x W = 2.8
Now, we can use the given values to find the height of the prism. We can rewrite the equation for volume in terms of height:
H = 2.8 / (L x W)
H = 2.8 / 2.8
H = 1 in
Therefore, the height of the prism is 1 inch.
more simple
GPT 3.5
Sure, here is a simpler and more step-by-step explanation:
Given:
Volume = 2.8 in^3
Length x Width = 2.8 in^2
1. We know that the volume of a rectangular prism is given by:
Volume = Length x Width x Height
2. Substitute the values given:
2.8 = 2.8 x Height
3. Solve for Height:
Height = 2.8 / 2.8
Height = 1
Therefore, the height of the prism is 1 inch.
Given:
Volume = 2.8 in^3
Length x Width = 2.8 in^2
1. We know that the volume of a rectangular prism is given by:
Volume = Length x Width x Height
2. Substitute the values given:
2.8 = 2.8 x Height
3. Solve for Height:
Height = 2.8 / 2.8
Height = 1
Therefore, the height of the prism is 1 inch.
moreee simpleeee
GPT 3.5
Of course! Here is an even simpler explanation:
Given:
Volume = 2.8 in^3
Length x Width = 2.8 in^2
1. The formula for the volume of a rectangular prism is Volume = Length x Width x Height.
2. Since the product of the length and width is 2.8 in^2 and the volume is 2.8 in^3, the height must be 1 inch.
Therefore, the height of the prism is 1 inch.
Given:
Volume = 2.8 in^3
Length x Width = 2.8 in^2
1. The formula for the volume of a rectangular prism is Volume = Length x Width x Height.
2. Since the product of the length and width is 2.8 in^2 and the volume is 2.8 in^3, the height must be 1 inch.
Therefore, the height of the prism is 1 inch.
moreeeee simpleeeeeeeeeeeeeeeeee
GPT 3.5
Certainly!
Given:
Volume = 2.8 in^3
Length x Width = 2.8 in^2
1. To find the height, divide the volume by the product of the length and width:
Height = Volume / (Length x Width)
Height = 2.8 / 2.8
Height = 1
Therefore, the height of the prism is 1 inch.
Given:
Volume = 2.8 in^3
Length x Width = 2.8 in^2
1. To find the height, divide the volume by the product of the length and width:
Height = Volume / (Length x Width)
Height = 2.8 / 2.8
Height = 1
Therefore, the height of the prism is 1 inch.