Question
What is the minimum amount of wrapping paper needed to cover the doll house shown below?
12in
20in
22in
24in
12in
20in
22in
24in
Answers
GPT-4o mini
To determine the minimum amount of wrapping paper needed to cover the dollhouse, you will need to calculate the surface area of the dollhouse. The dimensions of the dollhouse are given as 12 inches, 20 inches, 22 inches, and 24 inches.
However, without clear details on what each measurement corresponds to (e.g., height, width, depth), it's difficult to provide an exact volume. Assuming you are referring to a rectangular prism (a box shape), I will guide you through the calculation of the surface area for such a shape.
1. **Identify Dimensions:**
Let's consider:
- Length = 24 inches
- Width = 20 inches
- Height = 12 inches
2. **Calculate Surface Area:**
The formula for the surface area \( A \) of a rectangular prism is:
\[
A = 2(lw + lh + wh)
\]
Where:
- \( l \) is the length
- \( w \) is the width
- \( h \) is the height
Plugging in the dimensions:
\[
A = 2(24 \times 20 + 24 \times 12 + 20 \times 12)
\]
- Calculate each term:
- \( lw = 24 \times 20 = 480 \)
- \( lh = 24 \times 12 = 288 \)
- \( wh = 20 \times 12 = 240 \)
Now, add these areas together:
\[
A = 2(480 + 288 + 240) = 2(1008) = 2016 \text{ square inches}
\]
3. **Result:**
The minimum amount of wrapping paper needed to cover the dollhouse is **2016 square inches**.
If you need the answer in different units or if there are specific sections of the dollhouse that need different calculations (like roofs or separate rooms), please provide that clarification.
However, without clear details on what each measurement corresponds to (e.g., height, width, depth), it's difficult to provide an exact volume. Assuming you are referring to a rectangular prism (a box shape), I will guide you through the calculation of the surface area for such a shape.
1. **Identify Dimensions:**
Let's consider:
- Length = 24 inches
- Width = 20 inches
- Height = 12 inches
2. **Calculate Surface Area:**
The formula for the surface area \( A \) of a rectangular prism is:
\[
A = 2(lw + lh + wh)
\]
Where:
- \( l \) is the length
- \( w \) is the width
- \( h \) is the height
Plugging in the dimensions:
\[
A = 2(24 \times 20 + 24 \times 12 + 20 \times 12)
\]
- Calculate each term:
- \( lw = 24 \times 20 = 480 \)
- \( lh = 24 \times 12 = 288 \)
- \( wh = 20 \times 12 = 240 \)
Now, add these areas together:
\[
A = 2(480 + 288 + 240) = 2(1008) = 2016 \text{ square inches}
\]
3. **Result:**
The minimum amount of wrapping paper needed to cover the dollhouse is **2016 square inches**.
If you need the answer in different units or if there are specific sections of the dollhouse that need different calculations (like roofs or separate rooms), please provide that clarification.