3 years ago

The volume of a cube is 729 cubic feet . What is the side length of the cube ?

Mathematics

2 answers:

Leokris [45]3 years ago

8 0

The Side length of the cube is 9 feet

Vadim26 [7]3 years ago

3 0

Side length of cube = 9 feet

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<img src="https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%3D%20%20%5Cfrac%7B121%7D%7B196%7D%20" id="TexFormula1" title=" {x}^{2}

Artist 52 [7]

$x^2=\dfrac{121}{196}\iff x=\pm\sqrt{\dfrac{121}{196}}\\\\x=-\dfrac{\sqrt{121}}{\sqrt{196}}\ \vee\ x=\dfrac{\sqrt{121}}{\sqrt{196}}\\\\\boxed{x=-\dfrac{11}{14}\ \vee\ x=\dfrac{11}{14}}\\\\\sqrt{a}=b\iff b^2=a\\\\\sqrt{121}=11\ \text{because}\ 11^2=121\\\\\sqrt{196}=14\ \text{because}\ 14^2=196$