Question

Find the volume of this cube in cm³​

Answer 1

It is c: 15.625 cm³

Explanation:

Formular for cube volumes:

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

since sides of a cube are identical:

`{ \sf{s_(1) = {s_(2) = {s_(3)}}}}`

Therefore:

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

but 1 mm³ = 0.000001 cm³

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