Question

A rectangular aquarium has length (x+ 10), width (x + 4), and height (t + 6). Determine a simplified function that represents the volume of the aquarium. [2 Marks)

Answer 1

V = x³ + 20x² + 124x + 240

Explanation:

Volume of a rectangular prism is width times length times height.

V = wlh

Given w = x+4, l = x+10, and h = x + 6:

V = (x + 4)(x + 10)(x + 6)

V = (x + 4)(x² + 16x + 60)

V = x²(x + 4) + 16x(x + 4) + 60(x + 4)

V = x³ + 4x² + 16x² + 64x + 60x + 240

V = x³ + 20x² + 124x + 240