Terry and Bob each have an aquarium. Terry’s aquarium is 14 cm long, 12 cm high, and 10 cm wide. Bob’s aquarium is 13 cm long, 15 cm high and 8 cm wide. Whose aquarium holds the larger volume of water? Explain how you know.
To compare the volumes of the two aquariums, we need to calculate the volume of both.
Terry’s aquarium: volume = length x height x width = 14 cm x 12 cm x 10 cm = 1,680 cm³
Bob’s aquarium: volume = length x height x width = 13 cm x 15 cm x 8 cm = 1,560 cm³
Therefore, Terry’s aquarium holds a larger volume of water than Bob’s aquarium. We know this because it has a greater volume, which means it can hold more water.
To determine whose aquarium holds the larger volume of water, we need to calculate the volume of each aquarium.
The volume of a rectangular prism (aquarium) can be calculated using the formula:
Volume = Length x Height x Width
Let's calculate the volume of each aquarium:
Terry's aquarium:
Volume = 14 cm x 12 cm x 10 cm
Volume = 1680 cm^3
Bob's aquarium:
Volume = 13 cm x 15 cm x 8 cm
Volume = 1560 cm^3
Comparing the volumes, we can see that Terry's aquarium holds a larger volume of water (1680 cm^3) than Bob's aquarium (1560 cm^3).
Therefore, Terry's aquarium holds a larger volume of water based on the calculated volume.
To determine whose aquarium holds the larger volume of water, we need to calculate the volumes of both aquariums. The volume of an aquarium can be found by multiplying its length, height, and width.
For Terry's aquarium, the length is 14 cm, the height is 12 cm, and the width is 10 cm. So, the volume of Terry's aquarium can be calculated as: Volume of Terry's Aquarium = 14 cm * 12 cm * 10 cm = 1,680 cm³.
For Bob's aquarium, the length is 13 cm, the height is 15 cm, and the width is 8 cm. So, the volume of Bob's aquarium can be calculated as: Volume of Bob's Aquarium = 13 cm * 15 cm * 8 cm = 1,560 cm³.
Comparing the volumes of the two aquariums, we can see that Terry's aquarium holds a larger volume of water, with a volume of 1,680 cm³, while Bob's aquarium has a volume of 1,560 cm³. Therefore, Terry's aquarium holds more water.