Inequalities for Geometric Problems Practice
No incorrect answers, no greater and less than sings! YOU HEAR ME! CORRECT ANSWERS!! 1. A sandbox in the shape of a rectangular prism is 1/2ft. high and needs to contain at least 42 ft.³ of sand. How would you write an inequality to express the possible area of the base, b, of the sandbox? 2. Gus is knitting a scarf in the shape of a parallelogram. The height of the parallelogram will be 25 cm. He only has enough yarn to knit a maximum area of 1,000 cm². How would you write an inequality to express the possible length of the base, b, of the parallelogram? 3. A playing area for children is being laid out in the shape of a rectangle. It will be 8 feet wide and must contain more than 100 ft.². How would you write an inequality to express the possible base length, b, of the playing area? 4. The area of a parallelogram must be less than 180 cm². The base is 15 cm. How would you write and solve an inequality describing h, the height of the parallelogram? 5. A box of sugar needs to contain more than 60 in.³. The height of the box is 8 inches. How would you write and solve an inequality describing b, the area of the base of the box?
1. b ≥ 84 ft²
2. b ≤ 40 cm
3. b > 12.5 ft
4. h < 12 cm
5. b > 7.5 in²