Question

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Which shows the dimensions of two rectangular prisms that have volumes of 240 ft3 but different surface areas?



A.


8 ft by 5 ft by 6 ft;
5 ft by 6 ft by 8 ft


B.


8 ft by 5 ft by 6 ft;
10 ft by 8 ft by 3 ft


C.


15 ft by 8 ft by 2 ft;
6 ft by 4 ft by 15 ft


D.


12 ft by 6 ft by 5 ft;
8 ft by 10 ft by 3 ft

Answer 1

V=LWH
SA=2(LW+LH+WH)
V=240
first check that they are 240 volume
multiply numbers they should equal 240

the first one (A) can be eliminated since the dimentions are the same and therefor the surface areas are the same

2nd one check so far

3rd one (C) 6*4*15=360 which is wrong so eliminate this one

4th (d) 12*6*5=360 which is not 240 so eliminate


answer is B