SOLUTION: When she visited a spice market, Jessica was in awe of the beautiful colours and smells. She was also amazed at the ground spices that were sculpted into rectangular pyramids on t

Question 1037541: When she visited a spice market, Jessica was in awe of the beautiful colours and smells. She was also amazed at the ground spices that were sculpted into rectangular pyramids on top of their boxes.

a. If the base of the pyramid was 12 cm by 8 cm and the mound of spice was 8 cm tall, what volume of spice was within the mound above the box (to the nearest cubic centimetre)?

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b. Jessica bought 40 cm3 of this spice. Then, the shop owner recreated the pyramid with what was left. Given that the base has to stay the same dimensions how tall is the new pyramid? Round to two decimal places.
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Answer by addingup(3677) (Show Source): You can put this solution on YOUR website!
Volume of the pyramid: 1/3 A*h, where A is the area of the base (length*width) and h is the height.
:
12*8 = 96
96*8 = 768
1/3*768 = 256 is the volume
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256-40 = 216
216*3/1 = 648
648/96 = 6.75 tall
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