Find the surface area for the following net
4 cm 6cm 10 cm 5 cm
1. 184 cm2
2. 200 cm2
3. 120 cm2
4. 174 cm2
explain why
It is impossible to answer this question without seeing the net to determine the shape and how the dimensions are distributed on it. Please provide a visual or more detailed description of the net.
rectangalur prism
In a rectangular prism, we have three pairs of rectangular faces. Therefore, we need to find the area of each pair of faces and add them up to get the total surface area.
The dimensions given are:
Length = 10 cm
Width = 6 cm
Height = 4 cm
Pair 1:
Length = 10 cm
Width = 6 cm
Area = length x width = 10 cm x 6 cm = 60 cm²
Pair 2:
Length = 10 cm
Height = 4 cm
Area = length x height = 10 cm x 4 cm = 40 cm²
Pair 3:
Width = 6 cm
Height = 4 cm
Area = width x height = 6 cm x 4 cm = 24 cm²
Total Surface Area = 2(Area of Pair 1 + Area of Pair 2 + Area of Pair 3)
= 2(60 cm² + 40 cm² + 24 cm²)
= 2(124 cm²)
= 248 cm²
Therefore, the surface area of the rectangular prism is 248 cm². The answer is not among the options provided.
To find the surface area of the given net, we need to calculate the area of each individual face and then sum them up.
The given net has four sides with dimensions given as follows:
Side 1: 4 cm
Side 2: 6 cm
Side 3: 10 cm
Side 4: 5 cm
To compute the surface area, we need to analyze which sides are adjacent to each other.
From the given dimensions, we can see that side 1 (4 cm) and side 3 (10 cm) are adjacent. Similarly, side 2 (6 cm) and side 4 (5 cm) are adjacent.
We can now calculate the area of each face:
Face 1 = side 1 * side 3 = 4 cm * 10 cm = 40 cm²
Face 2 = side 2 * side 4 = 6 cm * 5 cm = 30 cm²
Since the given net has no other faces, we can add the areas of Face 1 and Face 2 to find the total surface area:
Total Surface Area = Face 1 + Face 2 = 40 cm² + 30 cm² = 70 cm²
Therefore, none of the options provided (184 cm², 200 cm², 120 cm², or 174 cm²) match the calculated value of 70 cm².