Open Question
Kinetic energy can be defined as (1/2)mv^2 or as (3/2)PV. Show that the derived SI units of each of these terms are those of energy. (Pressure is force/area and force is mass * acceleration.)
Ch.1 - Matter, Measurement & Problem Solving
Chapter 1, Problem 145
A cube has an edge length of 7 cm. If it is divided up into 1 cm cubes, how many 1 cm cubes are there?
Verified step by step guidance1
insert step 1> Calculate the volume of the original cube using the formula for the volume of a cube: \( V = a^3 \), where \( a \) is the edge length of the cube.
insert step 2> Substitute the given edge length of the cube (7 cm) into the formula: \( V = 7^3 \).
insert step 3> Calculate the volume of the original cube.
insert step 4> Since each smaller cube has a volume of \( 1^3 = 1 \) cm\(^3\), the number of smaller cubes is equal to the volume of the original cube.
insert step 5> Determine the number of 1 cm cubes by dividing the volume of the original cube by the volume of one smaller cube.
Related Practice
Open Question
A box contains a mixture of small copper spheres and small lead spheres. The total volume of both metals is measured by the displacement of water to be 427 cm³, and the total mass is 4.36 kg. What is the percentage of copper spheres?
Open Question
The diagram shown first represents solid carbon dioxide, also known as dry ice. Which of the other diagrams best represents the carbon dioxide after it has sublimed into a gas?
Open Question
Substance A has a density of 1.7 g/cm³. Substance B has a density of 1.7 kg/m³. Without doing any calculations, determine which substance is more dense.