Answer:
694 cubic inches
Step-by-step explanation:
Dimension of prism
Length = 15.5 inches
width = 8 inches
height = 7 inches
Volume of regular prism is given by area of base * height
area of base = length * width ( as bin is rectangular)
area of base = 15.5 * 8 square inches = 124 square inches
Volume of regular prism = area of base * height
= 124 * 7 cubic inches = 868 cubic inches
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868 cubic inches is the full capacity of the recycling bin
it is given that recycling bins need to be emptied when it is 80% full
so we need to find the 80% capacity of recycling bin
80% capacity of recycling bin = 80/100 * full capacity of the recycling bin
= 0.8 * 868 cubic inches = 694.4 cubic inches
694.4 cubic inches is the amount needed before the recycle bin is ready to empty .
But question says answer should in nearest cubic inch
hence answer is 694 cubic inches
