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Original Question
Arnav bought a gift. He wants to wrap the gift with wrapping paper. What is the exact amount of wrapping paper he would need to...Question
Markuo bought a gift. He wants to wrap the gift with wrapping paper. What is the exact amount of wrapping paper he would need to completely cover the gift without any excess?
Do you need to find the surface area or volume of the prism in order to solve this problem?
L-shaped prism labeled 6 in, 10 in, 18 in, 30 in, 6 in, 24 in, 20 in.
Surface Area
Volume
Nice!
This gift is in the shape of a prism. One way you can find the surface area is by adding the area of the 2 bases, and the area of the long rectangle along the edges of the bases. Start by finding the area of one base on paper, then record your answer on Zearn. You can use the calculator if you need to.
L-shaped prism labeled 6 in, 10 in, 18 in, 30 in, 6 in, 24 in, 20 in.
The area of one base is
in2.
Do you need to find the surface area or volume of the prism in order to solve this problem?
L-shaped prism labeled 6 in, 10 in, 18 in, 30 in, 6 in, 24 in, 20 in.
Surface Area
Volume
Nice!
This gift is in the shape of a prism. One way you can find the surface area is by adding the area of the 2 bases, and the area of the long rectangle along the edges of the bases. Start by finding the area of one base on paper, then record your answer on Zearn. You can use the calculator if you need to.
L-shaped prism labeled 6 in, 10 in, 18 in, 30 in, 6 in, 24 in, 20 in.
The area of one base is
in2.
Answers
GPT-4o mini
To determine the exact amount of wrapping paper Markuo needs, we need to find the surface area of the L-shaped prism, as that will give us the total area required to cover the gift. The volume is not needed for wrapping purposes.
First, we need to find the area of one of the bases of the L-shaped prism. The base is typically made up of multiple rectangles. You've provided dimensions, which seem to correspond to different parts of the L-shape.
Assuming the L-shaped base consists of two rectangles, we'll need to calculate their areas and then sum them up.
Let's assume the base dimensions are as follows (given the labeling suggests it might be two rectangles, but since the exact shape isn’t clear, I'll outline a common approach):
1. Rectangle 1:
- Length = 10 in
- Width = 20 in
- Area = Length × Width = \( 10 \, \text{in} \times 20 \, \text{in} = 200 \, \text{in}^2 \)
2. Rectangle 2:
- Length = 6 in
- Width = 18 in
- Area = Length × Width = \( 6 \, \text{in} \times 18 \, \text{in} = 108 \, \text{in}^2 \)
Now, to find the total area of the base, we add the two areas:
\[
\text{Total Area of One Base} = \text{Area of Rectangle 1} + \text{Area of Rectangle 2} = 200 \, \text{in}^2 + 108 \, \text{in}^2 = 308 \, \text{in}^2
\]
This total area will need to be multiplied by 2 if we are accounting for two bases of the prism (as there are typically two bases in a prism), and you'll also need to calculate the areas of the vertical sides of the prism.
To finalize the surface area, find the remaining faces of the prism and ensure to compute the areas of those features too.
So, the area of one base is **308 in²**, and this is part of how we would calculate the total surface area for wrapping purposes.
Make sure any responses in Zearn accurately represent this calculation. Let me know if you need steps for the calculations of the vertical sides or any other specifics!
First, we need to find the area of one of the bases of the L-shaped prism. The base is typically made up of multiple rectangles. You've provided dimensions, which seem to correspond to different parts of the L-shape.
Assuming the L-shaped base consists of two rectangles, we'll need to calculate their areas and then sum them up.
Let's assume the base dimensions are as follows (given the labeling suggests it might be two rectangles, but since the exact shape isn’t clear, I'll outline a common approach):
1. Rectangle 1:
- Length = 10 in
- Width = 20 in
- Area = Length × Width = \( 10 \, \text{in} \times 20 \, \text{in} = 200 \, \text{in}^2 \)
2. Rectangle 2:
- Length = 6 in
- Width = 18 in
- Area = Length × Width = \( 6 \, \text{in} \times 18 \, \text{in} = 108 \, \text{in}^2 \)
Now, to find the total area of the base, we add the two areas:
\[
\text{Total Area of One Base} = \text{Area of Rectangle 1} + \text{Area of Rectangle 2} = 200 \, \text{in}^2 + 108 \, \text{in}^2 = 308 \, \text{in}^2
\]
This total area will need to be multiplied by 2 if we are accounting for two bases of the prism (as there are typically two bases in a prism), and you'll also need to calculate the areas of the vertical sides of the prism.
To finalize the surface area, find the remaining faces of the prism and ensure to compute the areas of those features too.
So, the area of one base is **308 in²**, and this is part of how we would calculate the total surface area for wrapping purposes.
Make sure any responses in Zearn accurately represent this calculation. Let me know if you need steps for the calculations of the vertical sides or any other specifics!