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Free_Kalibri [48]
3 years ago
8

Find the volume of this cube in cm³​

Mathematics
1 answer:
Degger [83]3 years ago
8 0

Answer:

<u>It</u><u> </u><u>is</u><u> </u><u>c</u><u>:</u><u> </u><u>1</u><u>5</u><u>.</u><u>6</u><u>2</u><u>5</u><u> </u><u>cm³</u>

Step-by-step explanation:

Formular for cube volumes:

{ \tt{volume = (side \times side \times side)}} \\ { \tt{v = (s_{1} \times s_{2} \times s_{3}) }}

since sides of a cube are identical:

{ \sf{s_{1} = {s_{2} =  {s_{3}}}}}

Therefore:

{ \sf{volume = (250 \times 250 \times 250) \: mm {}^{3} }} \\  { \sf{v =15,625,000 \:  {mm}^{3}  }}

but 1 mm³ = 0.000001 cm³

{ \sf{v = (15,625,000 \times  \{1 \times  {10}^{ - 6} \} ) \: cm}} \\ { \sf{v = 15.625 \:  {cm}^{3} }}

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