The Measurement of the Edge of a Cube Is Found

question 71

Multiple Choice

The measurement of the edge of a cube is found to be 8 inches, with a possible error of 0.08 inch. Use differentials to estimate the propagated error in computing (a) the volume of the cube and (b) the surface area of the cube. Give your answers to two decimal places.

• A)18.43, 7.68
• B)12.29, 6.91
• C)13.82, 6.91
• D)12.29, 6.14
• E)15.36, 7.68

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Definitions:

Stratosphere

The stratosphere is a layer of the Earth's atmosphere located above the troposphere, characterized by a slight temperature increase with altitude and the presence of the ozone layer.

Ozone

A molecule composed of three oxygen atoms, found in the Earth's stratosphere, where it plays a critical role in protecting living organisms from ultraviolet radiation.

Lichen

A symbiotic organism composed of a fungus and a photosynthetic partner, typically an alga or cyanobacterium, found on rocks, trees, and soil.

Mutualistic Relationship

A type of symbiotic relationship where both organisms involved benefit from their interaction.