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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

User Brad Leach
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1 Answer

2 votes

Answer:


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


\\

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


\\

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


\\

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}\:\:\:}}}


\\


\\

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

User Farha Ansari
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7.8k points