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How many cubes with side lengths of \dfrac13\text{ cm} 3 1 cmstart fraction, 1, divided by, 3, end fraction, start text, space

natima [27]

Answer:

48 cubes

Explanation:

Given

$Side\ Length = \frac{1}{3}cm$

<u>Prism [Missing from the question]</u>

$Length = 1cm$

$Width= 2\frac{2}{3}cm$

$Height = \frac{2}{3}cm$

Required

Determine the number of cubes the prism can take

Volume is calculated as:

$V = Length * Width * Height$

First, calculate the volume of the cube

$V_1 = \frac{1}{3} * \frac{1}{3} * \frac{1}{3} cm^3$

$V_1 = \frac{1}{27} cm^3$

Next, calculate the volume of the prism

$V_2 = 1 * 2\frac{2}{3} * \frac{2}{3}\ cm^3$

Convert to improper fraction

$V_2 = 1 * \frac{8}{3} * \frac{2}{3}\ cm^3$

$V_2 = \frac{16}{9}\ cm^3$

Divide V2 by V1 to get the number of cubes

$Number = \frac{V_2}{V_1}$

$Number = \frac{16}{9}/\frac{1}{27}$

$Number = \frac{16}{9}*\frac{27}{1}$

$Number = \frac{16*27}{9*1}$

$Number = \frac{432}{9}$

$Number = 48$

<em>Hence, 48 cubes will fill the prism</em>

4 0

3 years ago

Read 2 more answers

Darker colored rocks that are rich in iron and magnesium are are referred to as being ____________________ in composition.

vampirchik [111]

$\underline{\huge\sf \color{purple}{ ↪ \pink{Answer }} }$

Darker colored rocks that are rich in iron and magnesium are are referred to as being Ferromagnesian Minerals in composition.

$\\ \\$

8 0

2 years ago

Motorcycles are used for about anything in Mexico, including cross-country trips and loading up the family for a trip into town.

leonid [27]

Answer:

Oliver arn't you in my geography class XD it's me chloe ;)

Explanation:

6 0

3 years ago

choose two coastal hazard ( pollution, hurricanes, erosion and eustalic es level rise). describe each hazard in terms of the cau

Whitepunk [10]

Answer:

pollution raises the mercury levels in sea food and causes acidification. And humans eat seafood. A way to offset such a thing would be have car run on propane we see other countries doing this. Although not perfect it would drastically lower the pollution. And no new infrastructure is needed.

Hurricanes are bad or people but are good for nature. It is nature's way of cooling off. But a solution for hurricane mitigation would be a change of building code permits and regulations. And quality control. If we change what building materials we are allowed to use where its prone to hurricanes. there would be a big difference.

6 0

4 years ago

1) Which of the following statements about the ancient city of Teotihuacan is false?\

Fed [463]

1.B.The city was located in the Andes Mountains of South America.

2.C.Region 3

7 0

3 years ago