Question

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

8x6 + 8x4 + 56x3
8x5 + 8x4 + 56x3
16x6 + 8x4 + 56x3
16x5 + 8x4 + 56x3

Answer 1

$V \\ = 2x \times {4x}^{2} \times ({2x}^{2} + x + 7) \\ = {8x}^{3} ( {2x}^{2} + x + 7) \\ = {16x}^{5} + {8x}^{4} + {56x}^{3}$

Answer is the last option.

Hope this helps. - M