This question is about surface area and volume chapter

Question

How to find TSA, CSA, VOLUME, OUTER CSA, INNER CSA AND EACH BASE AREA OF FOLLOWING 3D SHAPES. I need the formula plz

 1.HOLLOW CONE

2.HOLLOW HEMISPHERE

3.HOLLOW SPHERE

4.RIGHT CIRCULAR CONE-IN THIS I ONLY WANT THE FORMULA HOW TO FIND EACH base surface area only i do not want rest of my parts for this one only

4.hollow cuboid-for this I only want LSA  TSA, volume and each base area formula

5.hollow cube - for this i only want LSA, TSA, volume and each base area formula

Also plz tell me the difference between hollow cube and solid cube do they have same formula for calculation LSA, TSA and each base surface area  and including volume???? Plz ans all these questions fast i am struggling a lot no one is helping me plz ans ??

Answer 1

1. Hollow Hemisphere

• Volume of hollow Hemisphere = 2π(R³ - r³)/3
• Total surface area of a hemisphere: 2π(R² + r²) + π(R² - r²) = 3π(R² - r²)
• Curve surface area of a hemisphere: 2π(R² + r²)

2.Hollow sphere

• Volume of hollow sphere = 4π(R³ - r³)/3
• Total surface area of hollow sphere = 4π(R² + r²)
• Curve surface area of hollow sphere =  4π(R² + r²)
• OUTER Curve surface area = 4πR²
• Inner Curve surface area = 4πr²

3.RIGHT CIRCULAR CONE

• Total surface area of hollow cone = πr(l + r)
• Curve surface area of hollow cone = πrl
• Base surface area = πr²

4. Hollow cuboid( same as Rectangular Prism)

• Total Surface Area of the Cuboid (or Rectangular Prism) = 2 x (lb + bh + hl)
• Volume of the Cuboid (or Rectangular Prism) = lbh.
• Curve surface area of Cuboid (or Rectangular Prism) = 2(l+ b) x h

5. Hollow cube

• Total Surface Area of the hollow cube = 6a²
• Curved Surface Area of the hollow cube = 4a²
• Volume of the  hollow cube = a³

6.  Hollow cone

• Volume of hollow cone = 1/3πh((R² - r²)
• Curved Surface Area of the hollow cone = π(RL - rl)
• Volume of the  hollow cone =  V = π/3 x ( R² x  H - r²  x h )

Yes hollow cube and cuboid have same formula as solid cube and cuboid.

The hollow cube is a cube with a cubical hole in the middle.The cube is the Platonic solid (also called the regular hexahedron). It is composed of six square faces that meet each other at right angles and has eight vertices and 12 edges. A cube with unit edge lengths is called a unit cube. 

This is a cuboid with a rectangular hole, two open, opposite sides and walls of equal thickness.

The volume of a cuboid is calculated by multiplying the length by the width and the height of the cuboid. To calculated the volume of a cube, take the edge length of the cube to the power of 3. To determine the volume of a sphere, you have to take the diamater to the power of 3 and multiply it to π as well as 1/6.

Comments

What is meaning of hollow cube and hollow cuboid what is the difference between them also does hollow cube has same formula of a solid cube and hollow cuboid has same formulas of a solid cuboid plz ans????

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Plz check the answer.

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How to find base area of a hollow cuboid and solid cuboid. I need the formula to find base area of a hollow cuboid and solid cuboid

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Also tell me how to find base area of a hollow cube and base area of a solid cube???

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Even plz ans how to find volume of a normal sphere in terms of radius i need the formula not in terms of diameter you gave in terms of diameter so asking you sir???????

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Even plz ans how to find volume of a normal sphere in terms of radius i need the formula not in terms of diameter you gave in terms of diameter so asking you sir?I need in terms of radius sir???

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What is difference between base area and total base area of a cylinder. Note it is not TSA of a cylinder it is total base area does it exsist????? If it exsist plz make a formula and question where we have to find total base area and base area of a normal cylinder i need a question and ans also???