Question 13
1 answer:
The difference, to the nearest gram, of the masses of the rectangular
prisms is 1393.2 grams.
<h3>What is the volume of the rectangular prism?</h3>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)
=
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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Take the augmented matrix,
Swap the row 1 and row 2:
Add -2(row 1) to row 2, and -1(row 1) to row 3:
Add -1(row 2) to row 3:
Multiply through row 3 by 1/9:
Add 5(row 3) to row 2:
Multiply through row 2 by -1/3:
Add -2(row 2) and -1(row 3) to row 1:
So we have .