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)...