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2 years ago

Question 13

Mathematics

1 answer:

solmaris [256]2 years ago

4 0

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)

= $6 \times 9\times 3\\\\162$

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

Learn more about rectangular prism;

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