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3. A cuboid has dimensions \( 2 \mathrm{~cm} \times 3 \mathrm{~cm} \times 5 \mathrm{cn} \) Part of the net of this cuboid is shown on th a. Complete the net of the cuboid.

Ask by Pena Parsons. in South Africa
Feb 27,2025

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Answer

To complete the net of the cuboid with dimensions \(2 \, \text{cm} \times 3 \, \text{cm} \times 5 \, \text{cm}\), draw six rectangles corresponding to each face: 1. Two \(2 \, \text{cm} \times 3 \, \text{cm}\) rectangles. 2. Two \(2 \, \text{cm} \times 5 \, \text{cm}\) rectangles. 3. Two \(3 \, \text{cm} \times 5 \, \text{cm}\) rectangles. Arrange them in a way that all adjacent sides connect properly, forming the complete net of the cuboid.

Solution

To complete the net of a cuboid with dimensions \(2 \, \text{cm} \times 3 \, \text{cm} \times 5 \, \text{cm}\), we first need to understand the structure of the net. A cuboid has six faces, and each face is a rectangle. The dimensions of the faces are as follows: 1. Two faces with dimensions \(2 \, \text{cm} \times 3 \, \text{cm}\) 2. Two faces with dimensions \(2 \, \text{cm} \times 5 \, \text{cm}\) 3. Two faces with dimensions \(3 \, \text{cm} \times 5 \, \text{cm}\) ### Step-by-step to complete the net: 1. **Identify the Faces**: - **Face 1**: \(2 \, \text{cm} \times 3 \, \text{cm}\) (2 pieces) - **Face 2**: \(2 \, \text{cm} \times 5 \, \text{cm}\) (2 pieces) - **Face 3**: \(3 \, \text{cm} \times 5 \, \text{cm}\) (2 pieces) 2. **Draw the Net**: - Start by drawing one of the \(2 \, \text{cm} \times 3 \, \text{cm}\) rectangles. - Attach another \(2 \, \text{cm} \times 3 \, \text{cm}\) rectangle to one of the longer sides of the first rectangle. - Next, attach a \(2 \, \text{cm} \times 5 \, \text{cm}\) rectangle to one of the shorter sides of the first rectangle. - Attach another \(2 \, \text{cm} \times 5 \, \text{cm}\) rectangle to the opposite side of the first rectangle. - Finally, attach the two \(3 \, \text{cm} \times 5 \, \text{cm}\) rectangles to the remaining sides. ### Visual Representation: The net can be visualized as follows: ``` +---------+ | | (3 cm) | 2 | | | +-----+---------+-----+ | | | | | 2 | 5 | 2 | | | | | +-----+---------+-----+ | | | 5 | | | +---------+ ``` ### Conclusion: This is a basic representation of the net of the cuboid. You can adjust the layout as needed, but ensure that all six faces are included in the net.

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To complete the net of the cuboid, start by drawing six rectangles, as a cuboid has six faces. The dimensions of the rectangles would be as follows: two rectangles measuring \( 2 \, \text{cm} \times 3 \, \text{cm} \) for the front and back, two rectangles measuring \( 3 \, \text{cm} \times 5 \, \text{cm} \) for the sides, and two rectangles measuring \( 2 \, \text{cm} \times 5 \, \text{cm} \) for the top and bottom. Arrange these rectangles in a T-shape or a cross formation to create the complete net! When drawing the net, remember that the faces connected to one another should touch along their edges. For added fun, you can use colored pencils to differentiate the faces and visualize how they fold into the cuboid!

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