Answer:
The volume of the water in the tank is 112 m³
Step-by-step explanation:
The volume of the rectangular prism V = L × W × H, where
∵ A rectangular tank has a length of 4 m, a width of 12 m, and
a height of 3.5 m
∴ L = 4 m
∴ W = 12 m
∴ H = 3.5 m
∵ V = L × W × H
∴ The volume of the tank = 4 × 12 × 3.5
∴ The volume of the tank = 168 m³
∵ The tank is filled with water [tex]\frac{2}{3}[/tex] of its capacity
→ That means the volume of the water is [tex]\frac{2}{3}[/tex] the volume of the tank
∵ The volume of the water = [tex]\frac{2}{3}[/tex] the volume of the tank
∴ The volume of the water = [tex]\frac{2}{3}[/tex] × 168
∴ The volume of the water = 112 m³
∴ The volume of the water in the tank is 112 m³
