445 + 210 + 525 = 1,180
500 + 85x = 1,180
-500 -500
85x = 680
/85 /85
x = 8
You can do part a using The Pythagoras theorem:-
30^2 = x^2 + 24^2
x^2 = 30^2 - 14^2 = (30+24)(30-24) = 324
x = 18
4a = 36
to solve for a, divide both sides by 4 to get a by itself.
<u>4a</u> = <u>36
</u> 4 4
<u>
</u>a = 9
Multiply the dimensions by 1.5 and Pamela's suitcase becomes 42" x 24" x 12".
<span>Volume of 28" x 16" x 8": 3584 in^3 </span>
<span>Volume of 42" x 24" x 12": 12,096 in^3 </span>
<span>The volume ratio is 3.375, and yes, you have to cube it.</span>