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Density of Regular Solids

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Questions and Answers

Which of the following formulas is used to calculate the volume of a cylinder?

$π(radius)^2 \, × \, height$ (correct)

$length \, × \, breadth \, × \, height$

$(one \, side)^3$

$\frac{4}{3}π(radius)^3$

A Eureka can has a side opening near its mouth known as a spout.

True

What is the formula to calculate the density of a substance?

d = M/V

The volume of a cube is calculated by (one side) ______.

cubed Signup and view all the answers

Match the following vessels with their descriptions:

Measuring cylinder = Graduated in millilitres with zero mark at the bottom Measuring beaker = Used to take out a fixed volume of liquids Eureka can = Has a side opening near its mouth to let excess liquid overflow Signup and view all the answers

If the mass of a cube is 210g and one side of the cube is 3cm, what is the density of the cube?

7.78 g cm⁻³ Signup and view all the answers

Study Notes

Determination of Density of a Regular Solid

To find the mass (M) of a regular solid, use a beam balance.
The formula for calculating the volume (V) of a regular solid depends on its shape:
Cube: V = (one side)³
Cuboid: V = length × breadth × height
Sphere: V = 4/3π(radius)³
Cylinder: V = π(radius)² × height (where π = 3.14)
The density (d) of a substance is calculated using the formula: d = M/V
Example: A cube of iron with a mass of 210g and a side length of 3cm has a volume of 27cm³ and a density of 7.78 g cm⁻³.

Vessels for Measuring Volume

Measuring cylinders are used to measure the volume of liquids and are graduated in milliliters (mL) with the zero mark at the bottom.
Measuring beakers are used to measure fixed volumes of liquids and can be made of glass, plastic, or metal (like aluminum).
Eureka cans are glass, polythene, or metal beakers with a side opening (spout) near the mouth, allowing them to contain a specific volume of liquid, with excess overflowing through the spout.