The dimensions of a rectangular tank are 2m x 75cm x 1m. How many litres of water does it hold when filled to the brim?

Question

The dimensions of a rectangular tank are 2m x 75cm x 1m. How many litres of water does it hold when filled to the brim?

Asked on March 26, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

Accepted Answer · 2026-03-26T06:50:27.341Z

Step 1: Convert the dimensions of the rectangular water tank to meters. The given dimensions are: Length ($l$) = 2 m 75 cm = $2 \text{ m} + 0.75 \text{ m} = 2.75 \text{ m}$ Breadth ($b$) = 1 m 80 cm = $1 \text{ m} + 0.80 \text{ m} = 1.80 \text{ m}$ Height ($h$) = 1 m 40 cm = $1 \text{ m} + 0.40 \text{ m} = 1.40 \text{ m}$ Step 2: Calculate the volume of the rectangular tank. The formula for the volume of a cuboid is $V = l \times b \times h$. $$V = 2.75 \text{ m} \times 1.80 \text{ m} \times 1.40 \text{ m}$$ $$V = 4.95 \text{ m}^2 \times 1.40 \text{ m}$$ $$V = 6.93 \text{ m}^3$$ Step 3: Convert the volume from cubic meters to liters. We know that $1 \text{ m}^3 = 1000 \text{ liters}$. $$\text{Volume in liters} = 6.93 \text{ m}^3 \times 1000 \frac{\text{liters}}{\text{m}^3}$$ $$\text{Volume in liters} = 6930 \text{ liters}$$ The tank holds $\boxed{\text{6930 liters}}$ of water when filled to the brim.

Accepted Answer · 2026-03-26T06:50:27.341Z

Step 1: Convert the dimensions of the rectangular water tank to meters. The given dimensions are: Length ($l$) = 2 m 75 cm = $2 \text{ m} + 0.75 \text{ m} = 2.75 \text{ m}$ Breadth ($b$) = 1 m 80 cm = $1 \text{ m} + 0.80 \text{ m} = 1.80 \text{ m}$ Height ($h$) = 1 m 40 cm = $1 \text{ m} + 0.40 \text{ m} = 1.40 \text{ m}$ Step 2: Calculate the volume of the rectangular tank. The formula for the volume of a cuboid is $V = l \times b \times h$. $$V = 2.75 \text{ m} \times 1.80 \text{ m} \times 1.40 \text{ m}$$ $$V = 4.95 \text{ m}^2 \times 1.40 \text{ m}$$ $$V = 6.93 \text{ m}^3$$ Step 3: Convert the volume from cubic meters to liters. We know that $1 \text{ m}^3 = 1000 \text{ liters}$. $$\text{Volume in liters} = 6.93 \text{ m}^3 \times 1000 \frac{\text{liters}}{\text{m}^3}$$ $$\text{Volume in liters} = 6930 \text{ liters}$$ The tank holds $\boxed{\text{6930 liters}}$ of water when filled to the brim.