Question

3. The formula for the volume of a rectangular prism is V = /wh. 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????????

Please help???????

Answer 1

Answer:

Height: $2y^6+7$

Step-by-step explanation:

Let h represent height of the prism.

We have been given that the length of a rectangular prism is $2y^3$ and width is $5y$. The volume of the prism is $20y^{10} + 70y^4$. We are asked to find the height of the prism.

We know that volume of prism is equal to length times width times height. we can represent our given information in an equation as:

$2y^3(5y)\cdot h=20y^{10} + 70y^4$

$10y^4\cdot h=20y^{10} + 70y^4$

Divide both sides by $10y^4$:

$\frac{10y^4\cdot h}{10y^4}=\frac{20y^{10} + 70y^4}{10y^4}$

$h=\frac{10y^{4}(2y^6+7)}{10y^4}$

$h=2y^6+7$

Therefore, the height of the prism is $2y^6+7$.