A lidless box is made out of a square piece of metal by cutting 4 cm squares from the corners and bending up the sides. The volume of the box is \( 80 \mathrm{~cm}^{2} \). Find the dimensions of the square piece of metal. A room measures 6 m by 4 m . A rug covers three-quarters of the floor. The uncovered part of the floor forms a uniform strip around the rug. How wide is the strip?
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** - Let the side length of the square piece of metal be \( x \) cm. - After cutting 4 cm squares from each corner, the new dimensions of the base of the box are \( (x - 8) \) cm by \( (x - 8) \) cm, since 4 cm is removed from each side. - The height of the box is Show more…
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Equations and Inequalities
Applications and Modeling with Quadratic Equations
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