Verified answer

VOLUME OF RECTANGULAR AQUARIUM

Problem:

The height of water in a rectangular aquarium is 0.4 m. If it measures 80 cm long, 0.30 m wide, and 60 cm tall, how many gallons of water does it contain?

Answer: The rectangular aquarium contains 25.36 gallons of water.

Step-by-step explanation:

In order to solve for the quantity of water inside the rectangular aquarium expressed in gallons, we need to solve first for the volume in cubic centimeters. The volume formula that should be used is:

• V = LWH

where: V refers to the volume, L refers to the length, W refers to the width and H refers to the height.

The dimensions are 80 cm, which refers to the length, 0.30 meter, which refers to the width and 60 cm, which refers to the height. However, we need to consider 0.4 meter as the height since the height of the water in the aquarium is only 0.4 m. This means that if you try to visualize the aquarium, it is not full of water. But we need to convert first 0.30 and 0.40 meter to centimeters so that we have the same units. Since 1 meter equals 100 cm, then 0.30 m is 30 cm and 0.40 m is 40 cm. By direct substitution:

• V = 80 cm × 30 cm × 40 cm = 96,000 cubic centimeters

To convert to gallons, 1 gallon is equivalent to approximately 3,785 cm³, so let us divide 96,000 by 3,785 and we will get the result of 25.36 gallons.

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