Question

During conversion of a solid from one shape to another, the volume of the new shape will
A) Increases
B) Decreases
C) Remain unaltered
D) Be doubled

Answer 1

Hint:
Here we will use the basic concept of the volume of an object in the three-dimensional space. Then with the help of this, we will try to find if the conversion of a solid from one shape to another happens then what will happen to the volume of the new shape.

Complete step by step solution:
It is given that there is a conversion of a solid from one shape to another.
We know that the volume of an object is the amount of space occupied by an object in three-dimensional space.
We also know that any two different shapes can have a similar volume as it is independent of the shape.
Therefore, if a shape with a particular volume is converted into the other shape then the volume of the new shape is equal to the volume of the original shape.
For example, when a cube of a certain dimension is converted into a sphere of a certain radius, then the volume of a cube will be equal to the volume of a sphere.
Hence, if an object of a shape is converted from one shape to another shape then the volume of the new shape will remain unaltered.

So, option C is the correct option.

Note:
Volume is measured in cubic units. Surface area of an object or shape is the sum of all the areas of the faces of a 3D-object or shape and surface area is generally measured in square units. We don’t have to confuse the surface area with the area. Area is the amount of surface covered by a shape in two dimensional. Area and surface area both are measured in square meters.
Perimeter is the total length of the outer boundary of a shape in two dimensional which is the sum of all the edges of the figure. Perimeter is measured in meters.