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Calculate the volume of water in a rectangular tank with base dimensions 17 cm by 8 cm and water height of 9 cm.

May 19, 2026Mathematics

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Answer

1224 \text{ cm}^3

3 steps

Identify the formula for the volume of a rectangular prism.
The volume $V$ of a rectangular prism (like the water in the tank) is given by the product of its length, width, and height.
$V = \text{Length} \times \text{Width} \times \text{Height}$
Identify the dimensions of the water.
The base of the tank is $17 \text{ cm}$ by $8 \text{ cm}$ .
The water is up to a height of $9 \text{ cm}$ .
So, for the water:
Length = $17 \text{ cm}$
Width = $8 \text{ cm}$
Height = $9 \text{ cm}$
Substitute the dimensions into the formula and calculate the volume.
$V = 17 \text{ cm} \times 8 \text{ cm} \times 9 \text{ cm}$ $V = 136 \text{ cm}^2 \times 9 \text{ cm}$ $V = 1224 \text{ cm}^3$
The volume of the water in the tank is $1224 \text{ cm}^3$ .