Answer:
1. The question asks for the new volume of the rectangular prism after specific changes are made to its dimensions.
2. The given information is as follows:
- The width of the prism is doubled.
- The length of the prism is tripled.
- The height of the prism is halved.
- The volume of the original prism is V.
3. To find the new volume of the rectangular prism, we can use the formula for the volume of a rectangular prism, which is given by:
Volume = length * width * height
We will apply the given changes to the dimensions of the original prism and calculate the new volume.
4. The operations involved are multiplication and division.
5. Let's calculate the new volume based on the given changes:
New width = 2 * original width
New length = 3 * original length
New height = (1/2) * original height
Therefore, the new volume can be calculated as:
New Volume = New length * New width * New height
= (3 * original length) * (2 * original width) * ((1/2) * original height)
= 3 * 2 * (1/2) * original length * original width * original height
= 3 * original length * original width * original height
So, the new volume of the rectangular prism is 3 times the original volume (3V).
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Answers & Comments
Answer:
1. The question asks for the new volume of the rectangular prism after specific changes are made to its dimensions.
2. The given information is as follows:
- The width of the prism is doubled.
- The length of the prism is tripled.
- The height of the prism is halved.
- The volume of the original prism is V.
3. To find the new volume of the rectangular prism, we can use the formula for the volume of a rectangular prism, which is given by:
Volume = length * width * height
We will apply the given changes to the dimensions of the original prism and calculate the new volume.
4. The operations involved are multiplication and division.
5. Let's calculate the new volume based on the given changes:
New width = 2 * original width
New length = 3 * original length
New height = (1/2) * original height
Therefore, the new volume can be calculated as:
New Volume = New length * New width * New height
= (3 * original length) * (2 * original width) * ((1/2) * original height)
= 3 * 2 * (1/2) * original length * original width * original height
= 3 * original length * original width * original height
So, the new volume of the rectangular prism is 3 times the original volume (3V).