Question

The solid piece needed to build a rectangular garden stall is( 3)/(8) cubic meters. The length is 1m longer than the width. The height and the width have the same length. What is the width of the rectangular stall?

Answer 1

The width of the rectangular stall is 0.5 meters.

Step-by-step explanation:

Let's represent the width of the rectangular stall as 'w'. Since the length is 1 meter longer than the width, we can represent the length as 'w + 1'.

The height and width have the same length, so the height can also be represented as 'w'.

The volume of a rectangular solid is given by the formula V = length * width * height. In this case, the volume is (3/8) cubic meters, so we can set up the equation:

(w + 1) * w * w = 3/8

Simplifying the equation, we get:

w^3 + w^2 - (3/8) = 0

To solve this equation, we can use either factoring or the quadratic formula. By trying different values of 'w', we can find that the width of the rectangular stall is 0.5 meters.