Question

The formula for the volume of a rectangular prism is V = lwh. A rectangular prism has a length of 2y 3 and width of 5y. The volume of the prism is 20y 10 + 70y 4 . What is the height of the prism? Show your work.

Answer 1

h = 2y^6 +7

Explanation:

Put the given values into the formula and solve for the unknown.

V = lwh

(20y^10 +70y^4) = (2y^3)·(5y)·h

Divide by the coefficient of h.

(20y^10 +70y^4)/(10y^4) = h = 2y^6 +7

_____

The rules of exponents apply. Here, you need the ones that say ...

• (a^b)·(a^c) = a^(b+c)
• (a^b)/(a^c) = a^(b-c)