Mathematics, 08.11.2019 12:31 adlaremse2987
How long is the edge of a cube whose volume is twice that of the cube below? round to the nearest tenth.
Answers: 2
![b^3=1024\to b=\sqrt[3]{1024}\ cm^3](/tpl/images/0365/5446/14d42.png)
![b=\sqrt[3]{1024}=\sqrt[3]{2^{10}}=\sqrt[3]{2^9\cdot2}=\sqrt[3]{2^9}\cdot\sqrt[3]{2}](/tpl/images/0365/5446/2db8f.png)
![=\sqrt[3]{2^{3\cdot3}}\cdot\sqrt[3]{2}=\sqrt[3]{(2^3)^3}\cdot\sqrt[3]{2}](/tpl/images/0365/5446/49dc5.png)
![\sqrt[3]{a^3}=a](/tpl/images/0365/5446/dccb4.png)
![=2^3\sqrt[3]{2}=8\sqrt[3]{2}\ cm](/tpl/images/0365/5446/050b0.png)
![\sqrt[3]{2}\approx1.26\to b\approx8(1.26)\approx10.1\ cm](/tpl/images/0365/5446/934c1.png)
![V'=2V\\\\V=a^3,\ V'=b^3\to b^3=2a^3\to b=\sqrt[3]{2a^3}\\\\b=a\sqrt[3]2](/tpl/images/0365/5446/cc152.png)
![a=8\ cm\to b=8\sqrt[3]2\ cm\approx10.1\ cm](/tpl/images/0365/5446/9e117.png)
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How long is the edge of a cube whose volume is twice that of the cube below? round to the nearest t...
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