Question
Two fish tanks have measurements as shown.
Which tank has a greater volume? How much greater is its volume?
Use the drop-down menus to explain and show your answer.
Fish Tank A
Fish Tank B
8 ft
4 ft
Area of base: 40 ftª
Area of base: 25 ftª
(1 point)
The volume of fish tank A is
volume. Its volume is greater by
Choose cubic feet, and the volume of fish tank B is
Choase cubic feet. So fish tank
Choase • cubic feet.
200m
acer
Item 7
Item 8
Item 9
Item 10
Item 11
Item 12
Item 13
Item 14
Choose v
has a greater
Which tank has a greater volume? How much greater is its volume?
Use the drop-down menus to explain and show your answer.
Fish Tank A
Fish Tank B
8 ft
4 ft
Area of base: 40 ftª
Area of base: 25 ftª
(1 point)
The volume of fish tank A is
volume. Its volume is greater by
Choose cubic feet, and the volume of fish tank B is
Choase cubic feet. So fish tank
Choase • cubic feet.
200m
acer
Item 7
Item 8
Item 9
Item 10
Item 11
Item 12
Item 13
Item 14
Choose v
has a greater
Answers
GPT-4o mini
To determine which fish tank has a greater volume, we can use the formula for the volume of a rectangular prism, which is:
\[ \text{Volume} = \text{Base Area} \times \text{Height} \]
### Fish Tank A:
- Area of base = 40 ft²
- Height = 8 ft
Calculating the volume of Fish Tank A:
\[ \text{Volume of Tank A} = 40 \, \text{ft}² \times 8 \, \text{ft} = 320 \, \text{ft}³ \]
### Fish Tank B:
- Area of base = 25 ft²
- Height = 4 ft
Calculating the volume of Fish Tank B:
\[ \text{Volume of Tank B} = 25 \, \text{ft}² \times 4 \, \text{ft} = 100 \, \text{ft}³ \]
### Comparison of Volumes:
- Volume of Fish Tank A = 320 ft³
- Volume of Fish Tank B = 100 ft³
To find out how much greater Fish Tank A's volume is than Fish Tank B's:
\[
\text{Difference in Volume} = \text{Volume of Tank A} - \text{Volume of Tank B} = 320 \, \text{ft}³ - 100 \, \text{ft}³ = 220 \, \text{ft}³
\]
### Conclusion:
- Fish tank A has a greater volume.
- It is greater by 220 cubic feet.
So, to fill in the drop-down menus:
- The volume of fish tank A is **320 cubic feet**. Its volume is greater by **220 cubic feet**. The volume of fish tank B is **100 cubic feet**. So fish tank **A** has a greater **volume** of **220 cubic feet**.
\[ \text{Volume} = \text{Base Area} \times \text{Height} \]
### Fish Tank A:
- Area of base = 40 ft²
- Height = 8 ft
Calculating the volume of Fish Tank A:
\[ \text{Volume of Tank A} = 40 \, \text{ft}² \times 8 \, \text{ft} = 320 \, \text{ft}³ \]
### Fish Tank B:
- Area of base = 25 ft²
- Height = 4 ft
Calculating the volume of Fish Tank B:
\[ \text{Volume of Tank B} = 25 \, \text{ft}² \times 4 \, \text{ft} = 100 \, \text{ft}³ \]
### Comparison of Volumes:
- Volume of Fish Tank A = 320 ft³
- Volume of Fish Tank B = 100 ft³
To find out how much greater Fish Tank A's volume is than Fish Tank B's:
\[
\text{Difference in Volume} = \text{Volume of Tank A} - \text{Volume of Tank B} = 320 \, \text{ft}³ - 100 \, \text{ft}³ = 220 \, \text{ft}³
\]
### Conclusion:
- Fish tank A has a greater volume.
- It is greater by 220 cubic feet.
So, to fill in the drop-down menus:
- The volume of fish tank A is **320 cubic feet**. Its volume is greater by **220 cubic feet**. The volume of fish tank B is **100 cubic feet**. So fish tank **A** has a greater **volume** of **220 cubic feet**.