The edge of a cube was found to be 30 cm with a possibleerror in measurement of 0.1 cm. Use differentials toestimate the maximum possible error, relative error, andpercentage error in computing (a) the volume of the cubeand (b) the surface area of the cube.

A spacecraft has landed on a strange flat object and has measured itsdensity (103kg /m3) at several locations (Fig. 16). From photographs duringthe approach to the object scientists have estimated the thickness of theobject to be about 1.4 m thick the area to be about 3500 m2 . Approximate the mass of the object.

1) The side of a square measured 6 inches with a possible error of +/- 1/6 inches. Estimate the error in computing the area fo the square   2)The radius of a sphere is measured 6 inches with a possible error of +/- 0.02. Estimate the error in computing the volume of the sphere.

The density of pure iron is 7.874 g/cm.Apiece of steel made of pure iron and other types of iron is in the shape of a rectangular pyramid. The rectangular pyramid has a base edge length of 4 cm, a base edge width of 9 cm, a height of 5 cm, and a mass of 425 g. What is the difference between the density of pure iron and the density of the steel rectangular pyramid? Round your answer to the nearest thousandth. Type your answer.