MATHEMATICS HIGH SCHOOL

A Geometry textbook has a mass of 48 grams.The textbook is in the shape of a rectangular prism with dimensions show below.

To find density use: density

mass

volume

5 cm

16 cm

10 cm

Determine the density of the Geometry textbook in g/cm3.

Round your answer to the nearest hundredths place.

Answers

Answer 1
Answer:

The density of the Geometry textbook is 0.06 g/cm^3.

To find the density of the Geometry textbook in g/cm^3, we need to find its volume first. The volume of a rectangular prism is given by the formula V = l x w x h, where l is the length, w is the width, and h is the height.

In this case, the length is 16 cm, the width is 10 cm, and the height is 5 cm. Therefore, the volume of the Geometry textbook is:

V = l x w x h = 16 cm x 10 cm x 5 cm = 800 cm^3

Now, we can find the density of the textbook using the formula:

density = mass / volume

Plugging in the given mass of 48 grams and the calculated volume of 800 cm^3, we get:

density = 48 g / 800 cm^3 = 0.06 g/cm^3

Therefore, the density of the Geometry textbook is 0.06 g/cm^3. We rounded our answer to two decimal places as the original mass was given in grams to two decimal places.

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