Question

WILL GIVE BRAINLIEST: Find the volume of a rectangular prism if the length is 3x, the width is 5x^2, 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.

Answer 1

Answer:

30x^5 + 15x^4 + 105x^3

Step-by-step explanation:

V = l*w*h

l = 3x

w = 5x^2

h = 2x^2 + x + 7

l*w = 3x * 5x^2 = 15x^3 (add exponents when multiplying variables)

l*w = 15x^3

V = l*w*h = 15x^3(2x^2 + x + 7) = 30x^5 + 15x^4 + 105x^3

Answer 2

• L=3x
• B=5x^2
• H=2x^2+x+7[/tex]

$\\ \rm\longmapsto V=LBH$

$\\ \rm\longmapsto V=3x(5x^2)(2x^2+x+7)$

$\\ \rm\longmapsto V=15x^3(2x^2+x+7)$

$\\ \rm\longmapsto V=30x^5+15x^4+105x^3$