Question

all formulas of mensuration

Answer 1

MENSURATION :-

Cuboid :-
Lateral Surface Area - 2h(l+b)
Total Surfac Area - 2(lb+bh+lh)
Volume - lbh
[l:length,b:breadth,h:height]

Cube :-
LSA - 4a²
TSA - 6a²
Volume - a³
[a:side]

Right prism :-
LSA - perimeter of base × height
TSA - lateral surface+2(area of the end surfaces)
Volume - area of base × height

Regular circular cylinder :-
LSA - 2πrh
TSA - 2πr(r+h)
Volume - πr²h
[r:radius,h:height]

Right prism :-
LSA - ½(perimeter of base) × slant height
TSA - lateral surface+area of base
Volume - ⅓(area of base) × height

Right circular cone :-
CSA - πrl
TSA - πr(r+l)
Volume - ⅓(πr²h)
[r:radius,h:height,l:slant height]

Sphere :-
CSA - 4πr²
TSA - 4πr²
Volume - 4/3 πr³
[r:radius]

Hemisphere :-
CSA - 2πr²
TSA - 3πr²
Volume - ⅔πr³
[r:radius]

Answer 2

ʀᴇᴠɪsɪᴏɴ ᴏғ ғᴏʀᴍᴜʟᴀs ᴏғ ᴍᴇɴsᴜʀᴀᴛɪᴏɴ ᴄʜᴀᴘᴛᴇʀ

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♦ CSA of cuboid ➾ 2(bh + hl)

♦ TSA of Cuboid ➾ 2(lb + bh + hl)

♦ Volume of Cuboid ➾ Length × Breadth × Height

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♦ CSA of cube ➾ 4L²

♦ TSA of Cube ➾ 6L²

♦ Volume of Cube ➾ Length³

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♦ CSA of  Right Circular Cylinder ➾ 2πrh

♦ TSA of  Right Circular Cylinder ➾ 2πr(r + h)

♦ Volume of  Right Circular Cylinder ➾ πr²h

♦ CSA of Right Circular Hollow Cylinder ➾ 2πh(r + R)

♦TSA of Right Circular Hollow Cylinder  ➾ 2π(r + R) (h + R – r)

♦  Volume of Right Circular Hollow Cylinder  ➾ πh(R² – r²)

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♦ CSA of Right Circular Cone ➾ πrl

♦ TSA of Right Circular Cone  ➾ πr(r + l)

♦ Volume of Right Circular Cone  ➾ ⅓ (πr²h)

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♦ CSA of Sphere ➾ 4πr²

♦ TSA of Sphere   ➾ 4πr²

♦ Volume of Sphere   ➾ 4/3 (πr²)

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♦ CSA of Hemisphere ➾ 2πr²

♦ TSA of  Hemisphere ➾ 3πr²

♦ Volume of  Hemisphere ➾ 2/3 (πr²)

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♦ CSA of Frustum ➾ πl(r + R)

♦ TSA of  Frustum  ➾ πl(r + R) + p(r² + R²)

♦ Volume of  Frustum  ➾ ⅓πh(r² + R² + rR)