How big is a ton? That is, what is the volume of somethingthat weighs a ton? To be specific, estimate the diameter ofa 1-ton rock, but first make a wild guess: will it be 1 ftacross, 3 ft, or the size of a car? [Hint: Rock has mass pervolume about 3 times that of water, which is 1 kg per liter (103 cm3  or 62 lb per cubic foot.]

Estimate the number of pennies that would fit in a box one foot across by one foot wide by one foot tall. Assume a penny is like a cylinder with a diameter of 0.75 inches and a height of about 0.06 inches.

a) Estimate the number of breaths taken .during an average human lifetime Hint: Let we start by guessing that the typical human lifetime is about 70 years. Think about the average number of breaths that a person takes in 1 min. This number varies depending on whether the person is exercising, sleeping, angry, serene, and so forth. To the nearest order of magnitude, we shall choose 10 breaths per minute as our estimate. (This estimate is certainly closer to the true average value than an estimate of 1 breath per minute or 100 breaths per minute.) b) What if the average lifetime were estimated as 80 years instead of 70? ?Would that change our final estimate