Question

Find the volume of a rectangular prism if the length is 3x2, the width is 2x, and the height is x2 + 3x + 5. Use the formula V = l ⋅ w ⋅ h, where l is length, w is width, and h is height, to find the volume. 5x5 + 18x4 + 30x3 5x6 + 18x4 + 30x3 6x5 + 18x4 + 30x3 6x6 + 18x4 + 30x3

Answer 1

The answer to your question is: The third option is correct

Explanation:

Data

length = 3x²

width = 2x

height = x² + 3x + 5

Formula

V = l x w x h

V = (3x²) (2x) ( x² + 3x + 5)

= 6 x³ ( x² + 3x + 5)

= 6 x⁵ + 18 x⁴ + 30x³

5x5 + 18x4 + 30x3

5x6 + 18x4 + 30x3

6x5 + 18x4 + 30x3

6x6 + 18x4 + 30x3