Mathematics, 27.07.2019 20:30 itsyagirlgona21
How tall is a stack of three cube-shaped boxes, one on top of the other, given that their volumes are 24 cubic inches, 81 cubic inches and 375 cubic inches? give an exact answer.
Answers: 1
. 
, we find its side length by taking the cube root of V.![\sqrt[3]{24}= \sqrt[3]{8\cdot3}= \sqrt[3]{8}\cdot\sqrt[3]{3}=2\sqrt[3]{3}](/tpl/images/0140/0456/64e22.png)
![\sqrt[3]{81}= \sqrt[3]{27\cdot3}= \sqrt[3]{27}\cdot\sqrt[3]{3}=3\sqrt[3]{3}](/tpl/images/0140/0456/51334.png)
![\sqrt[3]{375}= \sqrt[3]{125\cdot3}= \sqrt[3]{125}\cdot\sqrt[3]{3}=5\sqrt[3]{3}](/tpl/images/0140/0456/b4f34.png)
![2\sqrt[3]{3}+3\sqrt[3]{3}+5\sqrt[3]{3}=10\sqrt[3]{3}](/tpl/images/0140/0456/83ebf.png)
.![10\sqrt[3]{3}](/tpl/images/0140/0456/3403f.png)
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How tall is a stack of three cube-shaped boxes, one on top of the other, given that their volumes ar...
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