A block of lead has dimensions of 4.50 – A block of lead with dimensions of 4.50 inches serves as the focal point of this comprehensive exploration, delving into its physical properties with meticulous precision and scientific rigor.
The dimensions of this lead block are meticulously examined, converting between imperial and metric units to provide a comprehensive understanding of its size. Density, a fundamental concept in physics, is elucidated, followed by the calculation of the block’s mass based on lead’s known density.
Dimensions of the Block of Lead: A Block Of Lead Has Dimensions Of 4.50
A block of lead has dimensions of 4.50 inches in length, 2.50 inches in width, and 1.50 inches in height.
Converting these dimensions to centimeters:
| Inches | Centimeters |
|---|---|
| 4.50 | 11.43 |
| 2.50 | 6.35 |
| 1.50 | 3.81 |
Density of Lead
Density is a measure of the mass of a substance per unit volume. The density of lead is 11.34 grams per cubic centimeter.
To calculate the mass of the block of lead, we multiply its volume by its density:
Mass = Volume × Density
First, we need to calculate the volume of the block of lead. The formula for the volume of a rectangular prism is:
Volume = Length × Width × Height
Substituting the given dimensions into the formula, we get:
Volume = 4.50 in × 2.50 in × 1.50 in = 16.875 cubic inches
Converting the volume to cubic centimeters:
875 cubic inches × (2.54 cm / 1 inch)^3 = 276.04 cubic centimeters
Now, we can calculate the mass of the block of lead:
Mass = 276.04 cm³ × 11.34 g / cm³ = 3130.5 grams
Volume of the Block of Lead
As calculated earlier, the volume of the block of lead is 276.04 cubic centimeters.
To convert the volume from cubic centimeters to cubic inches, we divide by the cube of the conversion factor:
Volume = 276.04 cm³ ÷ (2.54 cm / 1 inch)^3 = 16.875 cubic inches
Weight of the Block of Lead
Weight is the force exerted on an object due to gravity. The weight of an object is equal to its mass times the acceleration due to gravity (g), which is approximately 9.81 meters per second squared (m/s²).
To calculate the weight of the block of lead, we multiply its mass by the acceleration due to gravity:
Weight = Mass × Gravity
Substituting the calculated mass and the acceleration due to gravity, we get:
Weight = 3130.5 grams × 9.81 m/s² = 30,686.7 grams-force
Converting the weight from grams-force to newtons:
,686.7 grams-force × (1 newton / 1000 grams-force) = 30.69 newtons
Converting the weight from newtons to pounds:
69 newtons × (1 pound / 4.448 newtons) = 6.9 pounds
Questions and Answers
What is the density of lead?
Lead has a density of 11.34 grams per cubic centimeter.
How do you calculate the volume of a rectangular block?
Volume = length × width × height
What is the difference between mass and weight?
Mass is a measure of the amount of matter in an object, while weight is the force exerted on an object due to gravity.
