Question

A rectangular box has a volume of 105 cubic centimeters. The width of the rectangular box is x centimeters, the length is (2.1 – 3) centimeters, and the height is 3 centimeters. Write a polynomial that represents the volume of the rectangular box.

Answer 1

The polynomial representing the volume of the rectangular box is -2.7x cubic centimeters.

Step-by-step explanation:

The volume of a rectangular box can be calculated by multiplying its length, width, and height. In this question, the width is given as x centimeters, the length is (2.1-3) centimeters, and the height is 3 centimeters. So, the volume of the rectangular box can be represented by the polynomial:

Volume = length × width × height

Substituting the given values:

Volume = (2.1-3) × x × 3

Simplifying:

Volume = (2.1-3) × 3x

Further simplification: Volume = -0.9 × 3x

Finally, the polynomial representing the volume of the rectangular box is -2.7x cubic centimeters.