For the upcoming holiday season, Dorothy wants to mold 20 bars of chocolate into tiny pyramids. Each bar of chocolate contains 6 cubic inches of chocolate. Dorothy plans to make chocolate pyramids with a square base of 1 square inch and a height of 2 inches. What is the largest number of pyramids she can make from the 20 bars of chocolate? A. 180 B. 240 C. 450 D. 520 E. 580
Accepted Solution
Answer: 180Step-by-step explanation:The volume of each pyramid is ... V = 1/3Bh V = 1/3(1 in²)(2 in) = 2/3 in³The volume of chocolate Dorothy has to work with is ... (20 bars)×(6 in³/bar) = 120 in³Then the number of pyramids she can make is ... (120 in³)/(2/3 in³/pyramid) = (120)(3/2) pyramids = 180 pyramidsDorothy can make up to 180 pyramids from her 20 bars of chocolate.
