The diagram shows a cuboid. On the 1 cm² grid, complete the net of the cuboid. One face has been drawn for you. A cube has a surface area of 384 cm². Find the length of one of its sides.

Here are the solutions to the problems from the image: 20. (a) The diagram shows a cuboid. On the 1 cm² grid, complete the net of the cuboid. One face has been drawn for you. The cuboid has dimensions: length = 6 cm, width = 2 cm, height = 3 cm. The face already drawn is a 6 cm by 3 cm rectangle. This can be considered the front face. A complete net of a cuboid needs 6 faces: Two faces of 6 cm × 3 cm (front and back) Two faces of 6 cm × 2 cm (top and bottom) Two faces of 2 cm × 3 cm (left and right sides) The student has already drawn the central 6 cm × 3 cm face, the two 2 cm × 3 cm side faces (to the left and right), and the two 6 cm × 2 cm faces (above and below). This accounts for 5 faces. Step 1: Identify the missing face. The missing face is the back face, which is a 6 cm × 3 cm rectangle. Step 2: Attach the missing face to the existing net. To complete the net, draw the final 6 cm × 3 cm rectangle. A common way to attach it is to the 6 cm edge of the 6 cm × 2 cm face that is positioned above the central 6 cm × 3 cm face. This means extending the net upwards from the top face. (Since I cannot draw on the image, I am describing the completion of the net based on the visible drawing.) 20. (b) A cube has a surface area of 384 cm². Find the length of one of its sides. Step 1: Recall the formula for the surface area of a cube. The surface area A of a cube with side length s is given by A = 6s^2, because a cube has 6 identical square faces. Step 2: Substitute the given surface area into the formula. We are given A = 384 cm^2. 384 = 6s^2 Step 3: Solve for s^2. Divide both sides by 6: s^2 = (384)/(6) s^2 = 64 Step 4: Solve for s. Take the square root of both sides: s = sqrt(64) s = 8 cm The length of one of its sides is 8 cm. What's next?