Question

The rectangular prism has a height of 3in,width of 4 in and length of 5in.if the length is doubled,what is the new volume

Answer 1

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  `\boxed{\boxed{\sf{\:\:\:\green{120 \: in^3}\:\:\:}}}`

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Explanation:

The original volume of the rectangular prism is given by:

`\sf\implies Volume = Length * Width * Height`

`\sf\implies Volume = 5\: in * 4\: in * 3\: in`

`\sf\implies Volume = 60\: in^3`

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If we double the length of the prism, the new length will be:

`\sf\implies Length = 2 * Length`

`\sf\implies Length = 2 * 5\: in`

`\sf\implies Length = 10\: in`

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The width and height of the prism remain the same. Therefore, the new volume of the prism is:

`\sf\implies Volume = Length * Width * Height`

`\sf\implies Volume = 10\: in * 4\: in * 3\: in`

`\sf\implies \boxed{\boxed{\sf{\:\:\:Volume = \green{120\: in^3}\:\:\:}}}`

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Therefore, the new volume of the rectangular prism is 120 cubic inches.