Draw a net of a cuboid having sidelengths:

(i) 5 cm, 3 cm, and 1 cm

(ii) 6 cm, 3 cm, and 2 cm

Question

Draw a net of a cuboid having sidelengths: (i) 5 cm, 3 cm, and 1 cm (ii) 6 cm, 3 cm, and 2 cm

Homi · Accepted Answer

A net is a flat shape that can be folded to make a 3D object.

Step 1 — Understanding a cuboid net

A cuboid is a 3D shape with six rectangular faces. These faces come in three pairs. Each pair has identical dimensions. Let the side lengths of a cuboid be length (L), width (W), and height (H). The three pairs of faces will have these dimensions:

Two faces of L x W
Two faces of L x H
Two faces of W x H

To draw a net, we arrange these six rectangles so they can fold up. A common way is to draw four faces in a row. Then, attach the remaining two faces to the sides of one of the middle faces.

Step 2 — Net for 5 cm, 3 cm, and 1 cm

Let the side lengths be L = 5 cm, W = 3 cm, and H = 1 cm. We need to find the dimensions of the three pairs of faces. The first pair of faces will be L x W.

$L \times W = 5 \text{ cm} \times 3 \text{ cm}$

$\boxed{5 \text{ cm} \times 3 \text{ cm}}$

The second pair of faces will be L x H.

$L \times H = 5 \text{ cm} \times 1 \text{ cm}$

$\boxed{5 \text{ cm} \times 1 \text{ cm}}$

The third pair of faces will be W x H.

$W \times H = 3 \text{ cm} \times 1 \text{ cm}$

$\boxed{3 \text{ cm} \times 1 \text{ cm}}$

So, the net will consist of two rectangles of $5 \text{ cm} \times 3 \text{ cm}$ , two of $5 \text{ cm} \times 1 \text{ cm}$ , and two of $3 \text{ cm} \times 1 \text{ cm}$ .

Diagram 1

Step 3 — Net for 6 cm, 3 cm, and 2 cm

Let the side lengths be L = 6 cm, W = 3 cm, and H = 2 cm. We need to find the dimensions of the three pairs of faces. The first pair of faces will be L x W.

$L \times W = 6 \text{ cm} \times 3 \text{ cm}$

$\boxed{6 \text{ cm} \times 3 \text{ cm}}$

The second pair of faces will be L x H.

$L \times H = 6 \text{ cm} \times 2 \text{ cm}$

$\boxed{6 \text{ cm} \times 2 \text{ cm}}$

The third pair of faces will be W x H.

$W \times H = 3 \text{ cm} \times 2 \text{ cm}$

$\boxed{3 \text{ cm} \times 2 \text{ cm}}$

So, the net will consist of two rectangles of $6 \text{ cm} \times 3 \text{ cm}$ , two of $6 \text{ cm} \times 2 \text{ cm}$ , and two of $3 \text{ cm} \times 2 \text{ cm}$ .

Diagram 2

Answer

(i) Draw a net consisting of six rectangular faces with dimensions: two of 5 cm x 3 cm, two of 5 cm x 1 cm, and two of 3 cm x 1 cm. (ii) Draw a net consisting of six rectangular faces with dimensions: two of 6 cm x 3 cm, two of 6 cm x 2 cm, and two of 3 cm x 2 cm.

Question 9

Answer

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