Michelle buys a rectangular prism shaped box
if her rectangular pris is 2 1/2in in height,1 1/2in in width and 1 1/2 in depth
cora buys a box like the rectangular prism that is 1 in longer 1 in wider and 1 in taller than michelle's box what is the differences in volumes of the 2 boxes
A) 1in
B) 3in
C)18 1/8in
D) 26 1/4in
$$V=\dfrac 1 3 L W H$$
Michelle's box is volume
$$V_{Michelle}\dfrac 1 3 (2.5)(1.5)(1.5)=1.875in^3$$
Cora's box is volume
$$V_{Cora}=\dfrac 1 3 (3.5)(2.5)(2.5)=7.292in^3$$
$$V_{Cora}-V_{Michelle}=7.292-1.875=5.417in^3$$
which doesn't seem to correspond with any of your choices.
V = LWH2 - LWH1= (3.5)(2.5)(2.5) - (2.5)(1.5)(1.5)
= 21.875 - 5.625 = 16.25 in3 = None of the above