A new system of units is invented where the basic unit of length is the "dak." The "dak" is defined as equal to 3 inches, and there are 2.54 centimeters in an inch. How many "daks" are there in a centimeter?

The radius of an atom of gold (Au) is about 1.35 Å. How many gold atoms would have to be lined up to span 4.0 mm? Express your answer using two significant figures.

Physical units in mechanics are usually some combination of the dimensions time T, mass M, and length L. Consider the physical quantities m, r, u, a, and t with dimensions [m] = M, [r] = L, [u] = LT-, [a] = LT-2, and [1] = T. Enter the dimensional expression of the quantity on the right-hand side of each equation. Your answers may contain only M, L, T, and exponents. Assume that each of the following equations is dimensionally consistent. Lo = mur [Lo] = W = mar [W] = T

A) A pyramid has a height of 488 ft and its base covers an area of 10.0 acres. The volume of a pyramid is given by the expression: V=1/3Bh, where B is the area of the base and h is the height. Find the volume of the pyramid in cubic meters. (1 acre = 43,560ft^2). B) What If? If the height of the pyramid were increased to 525 ft and the height to base area ratio of the pyramid were kept constant, by what percentage would the volume of the pyramid increase?