Question
Use the image below to answer ALL parts of the question.
1. Explain how to find the Volume of the rectangular prism above. Show all steps! (2 points)
2. Explain how to find the Surface Area of the rectangular prism above. Show all steps! (2 points)
(4 points)
0 / 10000 Word Limit
Question 2
If you wanted to know how much water this rectangular prism could hold inside of it, which measurement would you use?(1 point)
Responses
volume
volume
surface area
1. Explain how to find the Volume of the rectangular prism above. Show all steps! (2 points)
2. Explain how to find the Surface Area of the rectangular prism above. Show all steps! (2 points)
(4 points)
0 / 10000 Word Limit
Question 2
If you wanted to know how much water this rectangular prism could hold inside of it, which measurement would you use?(1 point)
Responses
volume
volume
surface area
Answers
GPT-4o mini
To find the volume and surface area of the rectangular prism, follow the steps outlined below:
### 1. Finding the Volume of the Rectangular Prism
To calculate the volume of the rectangular prism, you can use the formula:
**Volume (V) = length (l) × width (w) × height (h)**
**Steps:**
- Identify the dimensions of the rectangular prism: measure or note the length, width, and height.
- Substitute the values of length, width, and height into the formula.
- Multiply the three dimensions together to find the volume.
For example, if the length is 5 units, the width is 3 units, and the height is 4 units:
- V = 5 × 3 × 4 = 60 cubic units.
### 2. Finding the Surface Area of the Rectangular Prism
To calculate the surface area of the rectangular prism, you can use the formula:
**Surface Area (SA) = 2(lw + lh + wh)**
**Steps:**
- Identify the dimensions of the rectangular prism: measure or note the length, width, and height.
- Plug the values of length, width, and height into the formula.
- Calculate the area of each pair of opposite faces (length × width, length × height, width × height), sum these areas, and multiply by 2.
For example, using the same dimensions as above (length = 5, width = 3, height = 4):
1. lw = 5 × 3 = 15
2. lh = 5 × 4 = 20
3. wh = 3 × 4 = 12
4. SA = 2(15 + 20 + 12) = 2(47) = 94 square units.
### Question 2
To determine how much water the rectangular prism can hold, you would use the **volume** measurement.
**Response: volume**
### 1. Finding the Volume of the Rectangular Prism
To calculate the volume of the rectangular prism, you can use the formula:
**Volume (V) = length (l) × width (w) × height (h)**
**Steps:**
- Identify the dimensions of the rectangular prism: measure or note the length, width, and height.
- Substitute the values of length, width, and height into the formula.
- Multiply the three dimensions together to find the volume.
For example, if the length is 5 units, the width is 3 units, and the height is 4 units:
- V = 5 × 3 × 4 = 60 cubic units.
### 2. Finding the Surface Area of the Rectangular Prism
To calculate the surface area of the rectangular prism, you can use the formula:
**Surface Area (SA) = 2(lw + lh + wh)**
**Steps:**
- Identify the dimensions of the rectangular prism: measure or note the length, width, and height.
- Plug the values of length, width, and height into the formula.
- Calculate the area of each pair of opposite faces (length × width, length × height, width × height), sum these areas, and multiply by 2.
For example, using the same dimensions as above (length = 5, width = 3, height = 4):
1. lw = 5 × 3 = 15
2. lh = 5 × 4 = 20
3. wh = 3 × 4 = 12
4. SA = 2(15 + 20 + 12) = 2(47) = 94 square units.
### Question 2
To determine how much water the rectangular prism can hold, you would use the **volume** measurement.
**Response: volume**