Answer:
A = x⁵ + 13x³ - 9x² + 40x - 72
Step-by-step explanation:
The formula for the area of a rectangle is length X width, or A = lw.
Substitute the equations for the sides into the formula:
A = lw
A = (x² + 8)(x³ + 5x - 9) <= use the distributive property
A = x⁵ + 5x³ -9x² + 8x³ + 40x - 72 <= collect like terms
A = x⁵ + 13x³ - 9x² + 40x - 72
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Find the volumes of each separate rectangular prism, (top) 9 x 4 x 12 = 432 cubic meters, (bottom) 10x2x2 = 40 cubic meters, and then add them together to get the overall volume, 40+432 = 472 cubic meters. the strategy is using length times width times height, LxWxH.