Find the volume of a rectangular prism if the length is 2x, the width is 4x2, and the height is 2x^2 + x + 7. Use the formula
V = l ⋅ w ⋅ h, where l is length, w is width, and h is height, to find the volume.

Question

Find the volume of a rectangular prism if the length is 2x, the width is 4x2, and the height is 2x^2 + x + 7. Use the formula 
V = l ⋅ w ⋅ h, where l is length, w is width, and h is height, to find the volume.

anonymous · Answer

You have to multiply
V = (2x)(4x²)(2x² + x + 7)
Start by multiplying 2x and 4x²
Then distribute the result through the parentheses

anonymous · Answer

but can you multiply those two?... because they have different exponents ?

anonymous · Answer

you can multiply if they have the same base. (You just can't add or subtract with different exponents.)
When multiplying, add the exponents. When subtracting subtract them. For example
$$x^5 \times x^6=x^{5+6}=x^{11}$$
$$\frac{ x^9 }{ x^4 }=x^{9-4}=x^5$$

anonymous · Answer

For your problem you have $$2x \times 4x^2=8x^3$$

anonymous · Answer

okay so it would be (8x^3)(2x^2+x+7) ..?

anonymous · Answer

right, now distribute

anonymous · Answer

16x^5+8x^4+56x^3?

anonymous · Answer

yes :)

anonymous · Answer

yayy thank you!

anonymous · Answer

you're welcome