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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?

March 26, 2026Mathematics

ScanSolve AI Answer

Answer

\text{6930 liters}

3 steps

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 = $1 \text{ m} + 0.40 \text{ m} = 1.40 \text{ m}$
Calculate the volume of the rectangular tank.
The formula for the volume of a cuboid is $V = l \times b \times h$ .
$V = 2.75 \text{ m} \times 1.80 \text{ m} \times 1.40 \text{ m}$ $V = 4.95 \text{ m}^2 \times 1.40 \text{ m}$ $V = 6.93 \text{ m}^3$
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.