Mensuration: Surface Area, Area, Perimeter, and Volume

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How is surface area different from area?

Surface area measures the total area that covers the surface of a 2D or 3D object, while area measures the space occupied by a 2D shape.

Which quantity does volume measure?

The space occupied by a 3D object

Which of the following is NOT a harmful microorganism?

Probiotics

What role do beneficial microorganisms play in the body?

<p>Aiding in digestion</p> Signup and view all the answers

How do harmful microorganisms enter the body?

<p>Contaminated food, water, or air</p> Signup and view all the answers

The classification of microorganisms is based on their characteristics such as:

<p>Size and mode of nutrition</p> Signup and view all the answers

What is the main difference between prokaryotes and eukaryotes?

<p>Prokaryotes lack a nucleus and other membrane-bound organelles, while eukaryotes have a nucleus and other membrane-bound organelles.</p> Signup and view all the answers

Which type of microorganism can only reproduce inside the cells of other organisms?

<p>Viruses</p> Signup and view all the answers

What is the primary mode of nutrition for fungi?

<p>Decomposing organic matter</p> Signup and view all the answers

Which type of microorganism includes amoebae, flagellates, and slime molds?

<p>Protists</p> Signup and view all the answers

Which type of microorganism is the most diverse and ubiquitous, found in various environments?

<p>Bacteria</p> Signup and view all the answers

What are examples of beneficial microorganisms mentioned in the text?

<p>Lactobacillus, Bifidobacterium, and Saccharomyces</p> Signup and view all the answers

Study Notes

Mensuration Class 8th

Mensuration is an important topic in mathematics that deals with the measurement of different quantities related to geometric shapes and objects. In the 8th grade, students learn about the concepts of surface area, area, perimeter, and volume.

Surface Area

Surface area is the total area that covers the surface of a 2D or 3D object. The surface area can be calculated using various formulas depending on the shape of the object. For example, the formula for the surface area of a sphere is:

$$ A = 4 \pi r^2 $$

where (A) is the surface area and (r) is the radius of the sphere.

Area

Area is the space occupied by a 2D shape. The area can be calculated using various formulas depending on the shape of the object. For example, the formula for the area of a rectangle is:

$$ A = lw $$

where (A) is the area, (l) is the length, and (w) is the width of the rectangle.

Perimeter

Perimeter is the total distance covered by the boundary of a 2D shape. The perimeter can be calculated using various formulas depending on the shape of the object. For example, the formula for the perimeter of a rectangle is:

$$ P = 2l + 2w $$

where (P) is the perimeter, (l) is the length, and (w) is the width of the rectangle.

Volume

Volume is the space occupied by a 3D object. The volume can be calculated using various formulas depending on the shape of the object. For example, the formula for the volume of a cube is:

$$ V = s^3 $$

where (V) is the volume and (s) is the length of the side of the cube.

In summary, mensuration in the 8th grade focuses on understanding and calculating the surface area, area, perimeter, and volume of various geometric shapes using appropriate formulas. These concepts are essential for students to develop a strong foundation in mathematics and problem-solving skills.

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