Question

21) A cuboid has a length of (2x-3)cm, a height of (x - 5)cm and a width of (3x + 6)cm.

Find an expression for the volume of this cuboid in the form ax³ + bx² + cx + d.

Answer 1

The expression for the volume of the cuboid is 6x³ - 7x² - 57x + 90.

Step-by-step explanation:

The volume of a cuboid is calculated by multiplying its length, height, and width. To find the expression for the volume of the given cuboid, we will multiply the given expressions for length, height, and width. So the expression for the volume is:

V = (2x-3)(x-5)(3x+6)

Simplifying this expression gives:

V = 6x³ - 7x² - 57x + 90

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