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

Question

asked Oct 5, 2024 55.0k views

1 Answer

Farha Ansari · Answer 1 · 2024-10-11T18:18:04+0000

Answer:

$\\$

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.