Question

The mass of $3{{\text{m}}^3}$ of cement of density $3000{\text{kg/}}{{\text{m}}^3}$ is:
A) 1000 kg
B) 9000 kg
C) 10000 kg
D) 90000 kg

Answer 1

Mass of an object: It is defined as the numerical measure of its inertia; it is the amount of matter in an object. The mass of a body affects the gravitational force.
Volume: It is the amount of space that an object occupies, it is a three-dimensional space enclosed by a closed surface.
Density: It is the quantity that describes the amount of mass per unit volume. The state of matter, air pressure, the temperature of the body, and geometry of the object affect the density of the matter.

Formula used:
${\text{Density = }}\dfrac{{{\text{Mass}}}}{{{\text{Volume}}}}$

Complete step-by-step solution:
Given details: ${\text{volume = 3}}{{\text{m}}^3}$, ${\text{Density = 3000kg/}}{{\text{m}}^3}$
The mass of the block is calculated as the product of the volume of the block and the density of the block.
From the above-given details and the equation, we can calculate the value of mass,
${\text{Mass = (3}}{{\text{m}}^3} \times {\text{3000kg/}}{{\text{m}}^3}{\text{)}}$ $= 9000{\text{kg}}$

Hence the correct option is $\left( {\text{B}} \right){\text{ }}$

Note: Pressure can change the shape and state of the matter; thus, the volume and the density of the matter also change. Mass and distance of a body affect gravity. Mass and weight are not the same quantity in nature but might have the same values. The weight of a body is the mass due to the gravitational pull toward the Earth’s surface. The weight of the body is affected by the three factors which are the mass of the body, the planet where the object exists, and the distance between the center of the planet and the object.

Temperature affects the volume of matter, on heating; a matter can be changed to a liquid state whereas on cooling the matter can be changed to a solid-state.