Question

The volume of a rectangular prism is found by multiplying the length, width, and height of the prism. A rectangular prism has a width of 5x^2units, a length of 7x^3 units and a height of 2x^4 units. Which is the volume of the prism in terms of x?

Answer 1

V = 70x⁹ cubic units

Explanation:

The formula of a volume of a rectangular prism:

`V=lwh`

l - length

w - width

h - height

We have:

`l=7x^3,\ w=5x^2,\ h=2x^4`

Substitute:

`V=(7x^3)(5x^2)(2x^4)=(7\cdot5\cdot2)(x^3x^2x^4)=70x^(3+2+4)=70x^9`

Used

`a^n\cdot a^m=a^(n+m)`

Answer 2

A prism has a length of 4 units, height of 2 units, and width of 3 units.

Complete each statement about the prism.

The length of the prism is

✔ 4

units.

The width of the prism is

✔ 3

units.

The height of the prism is

✔ 2

units.

Explanation: