Mathematics
12.12.2020 16:13
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The volume of a cubed shaped music box is 512 cubic centimeters find the surface
The volume of a cubed shaped music box is 512 cubic centimeters find the surface area of the music box
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ladyree8721
5,0(96 marks)
The surface area of music box is 384 square centimeter
Solution:
Given that,
Volume of cubed shaped music box = 512 cubic centimeter
To find: Surface area of music box
The volume of cube is given as:
Where, "a" is the length of side
Therefore,
Taking cube root on both sides,
![a = \sqrt[3]{512}](/tpl/images/0459/5763/851a1.png)
![a = \sqrt[3]{8 \times 8 \times 8}\\\\ a = \sqrt[3]{8^3}](/tpl/images/0459/5763/d330f.png)
Thus length of side of cube is 8 cm
Find surface area of cubed shaped music box
The surface area of cube is given as:
Substitute a = 8 in above formula
Thus surface area of music box is 384 square centimeter
elijahjacksonrp6z2o7
4,4(41 marks)
You are not stupid! :)
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