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?
To find the volume of the box, we need to multiply the base area (b) by the height of the box (8 inches). Therefore, the volume of the box is given by:
Volume = b x 8 in^3
Since the volume of the box needs to be greater than 60 in^3, we can write the inequality as:
b x 8 > 60
Dividing both sides by 8 to solve for b:
b > 60 / 8
b > 7.5
Therefore, the inequality describing b, the area of the base of the box, is b > 7.5.