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Law Incorporation [45]
3 years ago
15

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

, c, m, end text does it take to fill the prism?
Geography
2 answers:
natima [27]3 years ago
4 0

Answer:

48 cubes

Explanation:

Given

<u>Cube</u>

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>

Deffense [45]3 years ago
3 0

Answer: 48 cubes.

Explanation:

V=H*L*W

3*8*2

This equals 48.

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