Fig. 1.1 shows a solid pyramid with a square base. [Figure 1.1] The mass m of the pyramid is given by m = (1/3)ρhx² where ρ is the density of the material of the pyramid, h is the height, and x is the length of each side of the base. Measurements are taken as shown in Table 1.1. Table 1.1 quantity measurement percentage uncertainty m 19.5 g ±2% x 4.0 cm ±5% h 4.8 cm ±4%

1. (a)Define density.[1]
2. (b)(i)Calculate the absolute uncertainty in length x.[1]
3. (b)(ii)The density ρ is calculated from the measurements in Table 1.1. Determine the percentage uncertainty in the calculated value of ρ.[2]
4. (c)The square base of the pyramid in (b) rests on the horizontal surface of a bench. Use data from Table 1.1 to calculate the average pressure of the pyramid on the surface of the bench. The uncertainty in your answer is not required.[3]

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