Question

Dimensions of Box 2: x by 4x – 1 by x3 The volume of Box 2 is given by: 4x5 – x4 4x6 – x3 4x5 + x4 x3 + 5x –1

Answer 1

Option A is correct.

Volume of Box 2is 4x^5 - x^4 cubic units

Explanation:

got it right on the assignment

Answer 2

Option A is correct.

Volume of Box 2is
`4x^5 - x^4` cubic units

Explanation:

Given the dimensions of box 2 :
`x * (4x-1) * x^3`

Length(L) = x units

Breadth(B) = 4x -1 units and

Height(H)=
`x^3` units.

Formula for the volume of Box(V) is given by:

`V = L * B * H`

Substitute the given values we get;

`V = x * (4x-1) * (x^3) = x^4 * (4x-1)`

Using distributive property
`a \cdot(b+c) = a\cdot b+ a\cdot c`

V =
`x^4(4x) - x^4(1)` =
`4x^5 - x^4` cubic units

therefore, the volume of box 2 is,
`4x^5 - x^4` cubic units