Respuesta :
Answer:
7776 m^3
Step-by-step explanation:
The ratio of volumes is the cube of the scale factor. Here, the actual tower has dimensions 60 times those of the model, so the actual volume is ...
(36,000 cm^3)(60^3) = 7.776·10^9 cm^3
= 7.776·10^9(10^-2 m)^3
= 7776 m^3
The actual tower block has a volume of 7776 m^3.
Answer:
Therefore, volume of actual tower = 2.16 m³
Step-by-step explanation:
Scale of model to actual tower = 1:60
This means that the actual tower is larger than the model tower by a scale of 60 times
To calculate the volume of the actual tower, the following steps are used:
1 cm³ of model tower = 60 cm³ of actual tower
∴ 36,000 cm³ of model tower = 60 × 36,000 = 2,160,000 cm³
converting to m³
100 cm = 1 m
(100 cm)³ = (1 m)³
1,000,000 cm³ = 1 m³
∴ 1 cm³ = [tex]\frac{1}{1,000,000} m^{3}[/tex]
∴ 2,160,000 cm³ = [tex]\frac{2,160,000}{1,000,000} m^{3}[/tex] = 2.16 m³
Therefore, volume of actual tower = 2.16 m³