A right rectangular prism has a volume of 120 in3. what is the new volume if the length, width, and height are doubled?

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A right rectangular prism has a volume of 120 in3. what is the new volume if the length, width, and height are doubled?

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Answer 1 · 2018-05-22T15:06:17

960 in³

Explanation:

The volume V of a rectuangular prism with length = l, width = w and height =h is given by the formula
$V = l \cdot w \cdot h$ $V=l*w*h$

If each side is doubled, you get the new volume equal to
$V_{1} = 2 l \cdot 2 w \cdot 2 h = 8 l \cdot w \cdot h = 8 V$ $V_1=2l*2w*2h=8l*w*h=8V$
Therefore $V_{1} = 8 V = 8 \cdot 120$ $V_1= 8V=8*120$ in³ $= 960$ $=960$ in³

Answer 2 · 2018-05-22T15:07:54

$960 {in}^{3}$ $color(blue)(960 " in"^3$

Explanation:

If we increase linear dimensions by a scale factor a, then the volume will be increased by a scale factor $a^{3}$ $a^3$

So doubling implies scale factor of 2.

Volumes increases by $2^{3} = 8$ $2^3=8$

New volume:

$8 \cdot 120 = 960$ $8*120=960$ ${in}^{3}$ $"in"^3$

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A right rectangular prism has a volume of 120 in3. what is the new volume if the length, width, and height are doubled?

Please help!

2 Answers

Explanation:

Explanation:

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