To determine whose aquarium holds a larger volume of water, we can calculate the volume of each aquarium using the formula for the volume of a rectangular prism, which is:
\[ \text{Volume} = \text{Length} \times \text{Height} \times \text{Width} \]
Let's calculate the volume for Terry's aquarium first:
- Length = 14 cm
- Height = 12 cm
- Width = 10 cm
\[ \text{Volume}_{\text{Terry}} = 14 , \text{cm} \times 12 , \text{cm} \times 10 , \text{cm} \]
Calculating that:
\[ \text{Volume}_{\text{Terry}} = 14 \times 12 \times 10 = 1680 , \text{cm}^3 \]
Now, let's calculate the volume for Bob's aquarium:
- Length = 13 cm
- Height = 15 cm
- Width = 8 cm
\[ \text{Volume}_{\text{Bob}} = 13 , \text{cm} \times 15 , \text{cm} \times 8 , \text{cm} \]
Calculating that:
\[ \text{Volume}_{\text{Bob}} = 13 \times 15 \times 8 = 1560 , \text{cm}^3 \]
Now we compare the volumes:
- Terry's aquarium: 1680 cm³
- Bob's aquarium: 1560 cm³
Clearly, 1680 cm³ is greater than 1560 cm³.
Therefore, Terry's aquarium holds a larger volume of water than Bob's aquarium.