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A rectangular container is 15 cm wide and 5 cm long, and contains water to a depth of 8 cm. An object is placed in the water and the water rises 2.3 cm. Determine the volume of the object?
a. 92 cm3
b. 276 cm3
c. 172.5 cm3
d. 312.5 cm3
c. To determine the volume of the object, we must determine the volume of the water that is displaced after the object is inserted. Since the container is 5 cm wide and 15 cm long, and the water rises 2.3 cm after the object is inserted, the volume of the displaced water will be found by multiplying length by width by depth: (5)(15)(2.3) 172.5 cm3.
If 3x2 is multiplied by the quantity 2x3y raised to the fourth power, what would this expression simplify to? The statement in the question would translate to 3x 2 (2x 3 y) 4 .
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