Numeric Response



The
volume of a rectangular prism is 50 cm^{3}. The height of the prism is 5 cm.


1.

The
height of the prism changes, causing the volume to become 75 cm^{3}. What is the new height
of the prism in cm?


2.

The
height of the original prism changes, causing its volume to become 84 cm^{3}. The other
dimensions remain the same. What is the height in cm of the prism now?


3.

The
height of the original prism changes again, causing its volume to become 192 cm^{3}. The
other dimensions remain the same. What is the height in cm of the prism now?



A
perfume company sells its products in 3 standardsize boxes. Box 1 is 10 cm in length, 8 cm wide, and
9 cm high.


4.

What
is the volume in cm^{3}of Box 1?


5.

The
length of Box 2 was changed, causing its volume to become 864 cm^{3}. The other dimensions
remain the same as Box 1. What is the length in cm of the prism now?


6.

Box 3
has the same height and length as Box 2, but the width was changed resulting in a volume of 648
cm^{3}. What is the width in cm of Box 3?



A
board game company is selecting one of 2 boxes for its new game. Box 1 is 26 cm in length, by 14 cm
wide, by 8 cm long.


7.

What
is its volume in cm^{3}?


8.

For
Box 2, they double the width, and half the length and height. What is the volume in
cm^{3}?


9.

How
much more surface area in cm^{2}does Box 1 have than Box 2?
