Answer :
Sure, let's solve this step-by-step:
Question:
Match the following geometry term with the real-world example:
‑ Area
‑ Perimeter
‑ Surface area
‑ Volume
Real-world examples:
a. Linear feet of fence, in feet
b. The amount of water in a pool, in cubic feet
c. The amount of carpet needed for a room, in square feet
d. The amount of paint needed for 4 walls and the ceiling of a room, in square feet
Step-by-Step Solution:
1. Area:
- The term "area" refers to the amount of surface covered by a two-dimensional shape or surface.
- A real-world example of area is the amount of carpet needed for a room, as carpet covers the floor, which is a two-dimensional surface.
- Therefore, area corresponds to the amount of carpet needed for a room, in square feet.
2. Perimeter:
- The term "perimeter" refers to the total distance around the outside of a two-dimensional shape.
- A real-world example of perimeter is the linear feet of a fence required to enclose a yard, as the fence goes around the boundary of the property.
- Therefore, perimeter corresponds to the linear feet of fence, in feet.
3. Surface Area:
- The term "surface area" refers to the total area of all the surfaces of a three-dimensional object.
- A real-world example of surface area is the amount of paint needed for 4 walls and the ceiling of a room, as paint covers the surfaces of the walls and ceiling, which are parts of the three-dimensional room.
- Therefore, surface area corresponds to the amount of paint needed for 4 walls and the ceiling of a room, in square feet.
4. Volume:
- The term "volume" refers to the amount of space occupied by a three-dimensional object.
- A real-world example of volume is the amount of water in a pool, as water fills up the three-dimensional space within the pool.
- Therefore, volume corresponds to the amount of water in a pool, in cubic feet.
Final Matching:
1. Area = the amount of carpet needed for a room, in square feet (c)
2. Perimeter = linear feet of fence, in feet (a)
3. Surface Area = the amount of paint needed for 4 walls and the ceiling of a room, in square feet (d)
4. Volume = the amount of water in a pool, in cubic feet (b)
This matches each geometry term with the appropriate real-world example.
Question:
Match the following geometry term with the real-world example:
‑ Area
‑ Perimeter
‑ Surface area
‑ Volume
Real-world examples:
a. Linear feet of fence, in feet
b. The amount of water in a pool, in cubic feet
c. The amount of carpet needed for a room, in square feet
d. The amount of paint needed for 4 walls and the ceiling of a room, in square feet
Step-by-Step Solution:
1. Area:
- The term "area" refers to the amount of surface covered by a two-dimensional shape or surface.
- A real-world example of area is the amount of carpet needed for a room, as carpet covers the floor, which is a two-dimensional surface.
- Therefore, area corresponds to the amount of carpet needed for a room, in square feet.
2. Perimeter:
- The term "perimeter" refers to the total distance around the outside of a two-dimensional shape.
- A real-world example of perimeter is the linear feet of a fence required to enclose a yard, as the fence goes around the boundary of the property.
- Therefore, perimeter corresponds to the linear feet of fence, in feet.
3. Surface Area:
- The term "surface area" refers to the total area of all the surfaces of a three-dimensional object.
- A real-world example of surface area is the amount of paint needed for 4 walls and the ceiling of a room, as paint covers the surfaces of the walls and ceiling, which are parts of the three-dimensional room.
- Therefore, surface area corresponds to the amount of paint needed for 4 walls and the ceiling of a room, in square feet.
4. Volume:
- The term "volume" refers to the amount of space occupied by a three-dimensional object.
- A real-world example of volume is the amount of water in a pool, as water fills up the three-dimensional space within the pool.
- Therefore, volume corresponds to the amount of water in a pool, in cubic feet.
Final Matching:
1. Area = the amount of carpet needed for a room, in square feet (c)
2. Perimeter = linear feet of fence, in feet (a)
3. Surface Area = the amount of paint needed for 4 walls and the ceiling of a room, in square feet (d)
4. Volume = the amount of water in a pool, in cubic feet (b)
This matches each geometry term with the appropriate real-world example.
