You measure one edge of a cube using a meter stick marked in centimeters. Unfortunately, the edge is longer than 1 m. You mark the 1-m point on the cube edge with a pen and then, using a 15-cm ruler marked in millimeters, measure the remaining distance to be 1.40cm.

(a) What is the length of the edge in centimeters?
(b) What is the volume of the cube in cubic centimeters? (Remember, the lengths of all edges of a cube are equal.) Watch your significant figures. Use scientific notation if you have to.
(c) The cube has a mass of 111 kg. What is its density in grams per milliliter? Watch your significant figures.

Im doing this assignment too!!

a)1 meter = 100 cm, so the length of the edge is 100 + 1.40 = 101.40 cm but watch the number of s.f..

b)volume = edge^3.
c)density = mass/volume

You have a cube with a side measurement of 3cm. The mass of the cube is 78g. What is the density of the cube?

To solve these problems, we'll break them down step by step:

(a) To find the length of the edge in centimeters, we'll add the distance measured with the meter stick and the distance measured with the ruler.

The distance measured with the meter stick is 1 meter or 100 centimeters.

The distance measured with the ruler is 1.40 centimeters.

Adding these two distances together: 100 cm + 1.40 cm = 101.40 cm

So, the length of the edge of the cube is 101.40 centimeters.

(b) To find the volume of the cube in cubic centimeters, we'll use the formula V = s^3, where "s" is the length of one edge.

Since the cube has all edges equal in length, we can use the length we found in part (a), which is 101.40 cm.

V = (101.40 cm)^3 = 101.40 cm * 101.40 cm * 101.40 cm = 1,047,374.744 cm^3

Therefore, the volume of the cube is approximately 1,047,374.744 cubic centimeters.

(c) To find the density of the cube in grams per milliliter, we'll need to know the mass of the cube and its volume.

The mass is given as 111 kg, but we need the mass in grams, so we'll convert it to grams.

111 kg * 1000 g/kg = 111,000 g

The volume of the cube is 1,047,374.744 cm^3, but we need to convert it to milliliters (ml) because density is typically measured in grams per milliliter.

1 cm^3 = 1 ml, so the volume is also 1,047,374.744 ml.

Now, we can calculate the density using the formula density = mass/volume.

Density = 111,000 g / 1,047,374.744 ml ≈ 0.106 g/ml

Therefore, the density of the cube is approximately 0.106 grams per milliliter.