How do you solve surface area and volume problems easily Class 9?

Surface Area and Volume Class 9

Consider a cuboid whose length is “l” cm, breadth is b cm and height h cm.
For cube, length = breadth = height.
Lateral surface area (LSA) is the area of all the sides apart from the top and bottom faces.
Total surface area(TSA) of a cylinder of base radius r and height h = 2π × r × h + area of two circular bases.

Is surface area and volume of a cube the same?

Explanation: This problem is relatively simple. We know that the volume of a cube is equal to s3, where s is the length of a given side of the cube. Since the sides of a cube are all the same, the surface area of the cube is equal to 6 times the area of one face.

What is the formula for volume science?

Density offers a convenient means of obtaining the mass of a body from its volume or vice versa; the mass is equal to the volume multiplied by the density (M = Vd), while the volume is equal to the mass divided by the density (V = M/d).

What is the volume of rectangular?

A rectangular prism is a 3D figure with 6 rectangular faces. To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.

What is the volume of this cone?

The formula for the volume of a cone is V=1/3hπr².

What is cylinder radius?

The radius R, or the distance from the center of a cylinder to its edge, and its length, L are usually the defining property of a cylinder. The surface area of an open ended cylinder (as shown) is 2 RL. If the cylinder has caps on the ends, the surface area is 2 RL+2 R. 2. The volume of a cylinder is R2L.

How do you find the radius of a circle with volume?

Below, we have provided an exhaustive set of a radius of a sphere formulas:

Given diameter: r = d / 2 ,
Given area: r = √[A / (4 * π)] ,
Given volume: r = ³√[3 * V / (4 * π)] ,
Given surface to volume ratio: r = 3 / (A/V) .

How do you find area of a sector?

The formula for sector area is simple – multiply the central angle by the radius squared, and divide by 2: Sector Area = r² * α / 2.