Question

GEOMETRY: Express the volume of each cube below as a monomialNeeded fast!

Answer 1

Remember that

The volume of a cube is equal to

`V=b^3`

where b is the long side of the cube

so

Part 19

we have that

`b=7c^6d^2`

substitute in the formula

`V=(7c^6d^2)^3`

Applying property of exponents

`\begin{gathered} V=(7^3)(c^((6\cdot3)))(d^((2\cdot3))) \\ V=342c^((18))d^6 \end{gathered}`

Part 20

we have

`b=6r^7s^8`

substitute in the formula

`\begin{gathered} V=(6r^7s^8)^3 \\ V=216r^((21))s^((24)) \end{gathered}`