(a)[1]
What is density?
(b)
Fig. 1.1 shows a solid pyramid with a square base. The mass $m$ of the pyramid is given by $m = \frac{1}{3}\rho h x^2$, where $\rho$ is the density of the material of the pyramid, $h$ is the height, and $x$ is the length of each side of the base. The measurements are given in Table 1.1.
(b(i))[1]
Calculate the absolute uncertainty in length $x$.
(b(ii))[2]
The density $\rho$ is determined from the measurements in Table 1.1. Find the percentage uncertainty in the calculated value of $\rho$.
(c)[3]
In (b), the square base of the pyramid rests on the horizontal surface of a bench. Use the data in Table 1.1 to calculate the average pressure exerted by the pyramid on the bench surface. You do not need to include the uncertainty in your answer.