Math Problem Statement
Solution
To calculate the surface area of the cuboid from the provided net, we need to determine the area of each rectangle in the net and then sum them up.
The dimensions of the cuboid are:
- Length = 5 cm
- Width = 3 cm
- Height = 2 cm
The net consists of 6 rectangles:
-
2 rectangles with dimensions 5 cm × 3 cm
- Area of each =
- Total area for these two =
-
2 rectangles with dimensions 5 cm × 2 cm
- Area of each =
- Total area for these two =
-
2 rectangles with dimensions 3 cm × 2 cm
- Area of each =
- Total area for these two =
Now, summing all these areas:
Thus, the surface area of the cuboid is 62 cm².
Would you like more details or further clarification?
Here are 5 related questions to consider:
- How would the surface area change if the dimensions were doubled?
- What is the formula for the surface area of a general cuboid?
- How would you find the volume of this cuboid?
- Can the net of a cuboid be arranged differently while maintaining the same surface area?
- How can you distinguish a cube from a cuboid based on the net?
Tip: When calculating surface area from a net, ensure you correctly pair up corresponding faces of the cuboid.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Geometry
Surface Area
Nets of 3D Shapes
Formulas
Surface area of a cuboid = 2(lw + lh + wh)
Theorems
Surface area calculation using nets
Suitable Grade Level
Grades 6-8
Related Recommendation
Calculating Surface Area of a Cuboid Using Its Net
Surface Area of a Cuboid with Dimensions 20 cm by 3 cm by 2 cm
Cuboid Surface Area Calculation with 3 cm, 4 cm, and 10 cm Dimensions
How to Calculate the Surface Area of a Cuboid with Given Dimensions
Surface Area of Rectangular Prism: Detailed Solution