The difference, to the nearest gram, of the masses of the rectangular
prisms is 1393.2 grams.
The volume of the rectangular prism is the product of the length, breadth, and height of the given prism.
Volume of rectangular prism = (length x width x height)
Joe has a rectangular prism made of aluminum and a rectangular prism made of lead.
Each rectangular prism has a height of 6 cm, length of 9 cm, and width of 3 cm.
The volume of a rectangular prism made of aluminum = (length x width x height)
= [tex]6 \times 9\times 3\\\\162[/tex]
The volume of a rectangular prism made of lead= (length x width x height)
= 162 cubic cm
We know that mass = density x volume
The density of aluminum is approximately 2.70.
mass = 2.70 x 162
= 437.4 grams
The density of lead is approximately 11.3 cm3
mass = 11.3 x 162
= 1830.6 grams
The difference, to the nearest gram, of the masses of the rectangular
prisms 1830.6 - 437.4 = 1393.2 grams
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