A rectangular prism has dimensions of 2 ft, 4 ft, and 6 ft. If the dimensions are doubled, what would happen to the volume?

Question

asked Sep 3, 2021 182k views

1 Answer

Hwcverwe · Answer 1 · 2021-09-09T03:08:38+0000

Answer:

Volume is increased in a factor of 8. The volume is increased from
$48\,ft^(3)$ to
$384\,ft^(3)$ .

Explanation:

The formula for the volume of the rectangular prism is:

$V = w\cdot h \cdot l$

Where:

- Width

- Height

- Length

If dimensions are doubled, then volume is increased in a factor of 8:

$V_(f) = (2\cdot w)\cdot (2\cdot h)\cdot (2\cdot l)$

$V_(f) = 8\cdot w \cdot h \cdot l$

$V_(f) = 8 \cdot V_(o)$

The volume is increased from
$48\,ft^(3)$ to
$384\,ft^(3)$ .