Surface Area and Volume: We live in a three-dimensional world. Every object you can see or touch has three dimensions that can be measured, length, breadth and height. Our house that we live in has certain dimensions. The rectangular monitor you’re looking at has its own length breadth and width.
The bottle that you use to drink water also has some capacity over which the water would start overflowing. A football would eventually burst if you forcefully try to pump in more air than required. Did you know that it is possible to measure the dimensions and capacity of these objects by studying its Surface Area and Volume? Let’s us look at some of these geometrical figures that we come across in our day to day lives.
- Cuboid and Cube
- Sphere
- Cylinder
- Cone
- Frustum of Cone
- Combination of Solids
- Area And Volume of Combination of Solids
FAQs on Surface Areas and Volumes
Question 1: Differentiate between area and surface area?
Answer: Area refers to the measure of an object that is two dimensional. For example, the square footage of a house’s floor space. A house is a three dimensional but one is interested in the floor’s area. Surface area, in contrast, refers to the two-dimensional measure of the outside of something. Surface area happens to be the area of the surface.
Question 2: Can we say that the surface area is cubed?
Answer: The surface area is two-dimensional and its expression takes place as units squared instead of units cubed.
Question 3: Give the surface area of a prism?
Answer: The general formula for the total surface area of a right prism’s total surface area is T. S. A. =ph+2B. Here the representation of p is as the perimeter of the base. Also, h is representative of the height of the prism while B represents the area of the base.
Question 4: Can we say that the surface area is the same as volume?
Answer: Surface area refers to the sum of the areas of all the solid figure’s faces. In contrast, volume refers to the number of cubic units that form a solid figure.