The volume of a cube is 512cm3. What is the side length of each side of the cube

2 answers:

8 0

Side length =
$\sqrt[3]{512} = 8$

Side length of each side of the cube = 8cm

Answer check : 8cm x 8cm x 8cm = 512cm ^3

Hope this helps. - M

Maurinko [17]3 years ago

7 0

The side lengths of the cube are 8cm. I found this answer by taking the cube root of 512.

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$\because \: OA = \frac{1}{2} \times AC \\ \\ \therefore \: OA = \frac{1}{2} \times 14 \\ \\ \huge \red{ \boxed{\therefore \: OA = 7 \: cm}} \\ \\ \because \: OB = \frac{1}{2} \times BD \\ \\ \therefore \: OB = \frac{1}{2} \times 48 \\ \\ \huge \red{ \boxed{\therefore \: OB = 24 \: cm}} \\ \\ In \: \triangle OAB, \: \: \angle AOB=90° \\ \therefore \: by \: Pythagoras \: Theorem \\ AB= \sqrt{OA^2 +OB^2 } \\ = \sqrt{7^2 +24^2 } \\ = \sqrt{49+576 } \\ = \sqrt{625 } \\ \huge \orange{ \boxed{\ \therefore \:AB= 25 \: cm.}}$