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If the scale model of a cube sculpture is 0.5 cm per every 1 m

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New post 19 Jun 2017, 00:08
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If the scale model of a cube sculpture is 0.5 cm per every 1 m of the real sculpture, what is the volume of the model, if the volume of the real sculpture is 64 m3?

A. 64 cm3
B. 8 cm3
C. 2 cm3
D. 4 cm3
E. 16 cm3

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If the scale model of a cube sculpture is 0.5 cm per every 1 m  [#permalink]

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New post 19 Jun 2017, 00:32
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shashankism wrote:
If the scale model of a cube sculpture is 0.5 cm per every 1 m of the real sculpture, what is the volume of the model, if the volume of the real sculpture is 64 m3?

A. 64 cm3
B. 8 cm3
C. 2 cm3
D. 4 cm3
E. 16 cm3


Volume of cube \(= x^3\) units ---------- (x is the side of cube)

Volume of the real sculpture is \(64 m^3\)\(= (4^3)m^3\)

Therefore side of real sculpture is \(4 m\).

Scale model of a cube sculpture is 0.5 cm per every 1 m of the real sculpture. Let the side of model be x.

\(0.5cm -- 1 m\)
\(x cm -- 4m\)

Cross multiplying the above we get;

\(x = 2 cm\)

Therefore volume of model \(= 2^3 = 8 cm^3\) . Answer (B)...
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Re: If the scale model of a cube sculpture is 0.5 cm per every 1 m  [#permalink]

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New post 19 Jun 2017, 00:36
As 0.5 cm represents 1 m, then 1\(m^3\) is represented by \(0.5^3 cm^3\) or 0.125 \(cm^3\)

Therefore 64\(m^3\) is represented by 64 x 0.125 \(cm^3\) = 8 \(cm^3\)

Answer is B
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Re: If the scale model of a cube sculpture is 0.5 cm per every 1 m  [#permalink]

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New post 20 Jun 2017, 18:56
shashankism wrote:
If the scale model of a cube sculpture is 0.5 cm per every 1 m of the real sculpture, what is the volume of the model, if the volume of the real sculpture is 64 m3?

A. 64 cm3
B. 8 cm3
C. 2 cm3
D. 4 cm3
E. 16 cm3


Since we have 0.5 cm per every 1 m, we can say:

(0.5 cm)^3 = (1 m)^3

0.125 cm^3 = 1 m^3

Thus, the volume of a model that is 64 m^3 is:

64 m^3 x 0.125 cm^3/1 m^3 = 64 x 0.125 = 8 cm^3

Answer: B
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Re: If the scale model of a cube sculpture is 0.5 cm per every 1 m  [#permalink]

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New post 17 Oct 2018, 20:01
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Re: If the scale model of a cube sculpture is 0.5 cm per every 1 m   [#permalink] 17 Oct 2018, 20:01
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