Given:
The volume of a rectangular prism is 120 cubic inches.
To find:
The new volume of the prism if the dimensions are doubled.
Explanation:
The formula of the volume of the rectangular prism is,
[tex]V=lwh[/tex]The new dimensions are,
[tex]\begin{gathered} l_1=2l \\ w_1=2w \\ h_1=2h \end{gathered}[/tex]So, the new volume of the prism becomes,
[tex]\begin{gathered} V_1=l_1w_1h_1 \\ =2l\cdot2w\cdot2h \\ =8lwh \\ V_1=8V \\ V_1=8(120) \\ V_1=960in^3 \end{gathered}[/tex]Therefore, the new volume is 960 cubic inches.
Final answer:
The new volume is 960 cubic inches.
