Question

What is the volume of David’s box?

Answer 1

H.
`6x^(7) y^(15)`

Explanation:

The formula for volume is V = (length)(width)(height)

So, the volume is: V = (
`3x^(2)y^(4)`)(
`4x^(2)y^(5)`)(
`(1)/(2) x^(3)y^(6)`)

We can multiple the coefficients 3, 4, and 1/2, which is 6

We know that
`x^(a) +x^(b) =x^(a+b)`, so multiplying
`x^(2)`,
`x^(2)`, and
`x^(3)` will give us
`x^(7)`.

Similarly, multiplying
`y^(4)`,
`y^(5)` , and
`y^(6)` will give us
`y^(15)`.

Altogether, our volume would be
`6x^(7) y^(15)`