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

Answer:

V = 70x⁹ cubic units

Step-by-step 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

$a^n\cdot a^m=a^{n+m}$