The diagram shows a square-based pyramid ABCDE - OCR - GCSE Maths - Question 14 - 2023 - Paper 6

The center O of the square base is found by marking the midpoint of the sides. This will be at the coordinates (2.5 cm, 2.5 cm) on the grid.

The sloping edges from each vertex (A, B, C, D) to the apex E of the pyramid, which is directly above point O, should be marked. The height from O to E can be calculated using the Pythagorean theorem. Since the sloping edge is 14.5 cm, the perpendicular height can be calculated as follows:

Let the height be h.

Using the formula: $h = \sqrt{(14.5)^2 - (10)^2} = \sqrt{210.25 - 100} = \sqrt{110.25} \approx 10.5 cm$

On the grid, this distance represents approximately 2.625 cm. Draw lines from O to points A, B, C, and D at the calculated height.

Ensure all points are clearly labeled: A, B, C, D for the base corners, and O for the center of the base. Additionally, mark the apex E above the central point O at the calculated height.