Math, asked by LuckyTeja, 1 year ago

Find the volume,total and lateral surface area of a cuboid which is 12 m long 8m broad and 4.5m height

Answers

Answered by vaishnavi973
9
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Answered by bhagyashreechowdhury
1

The volume of the cuboid is 432 m³.

The total surface area of the cuboid is 372 m².

The lateral surface area of the cuboid is 180 m².

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Let's understand a few concepts:

To solve the given problem we will use the following formulas:

  • \boxed{\bold{Volume \:of\:cuboid = length \times breadth \times height}}

  • \boxed{\bold{Lateral \:surface\:area \:of\:cuboid = 2h (l + b)}}

  • \boxed{\bold{Total \:surface\:area \:of\:cuboid = 2 (lb + bh + hl)}}

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Let's solve the given problem:

The dimensions of the cuboid:

Length (l) = 12 m

Breadth (b) = 8 m

Height (h) = 4.5 m

Volume of the cuboid:

The volume of the cuboid is,

= l\times b\times h

= 12\times 8\times 4.5

= \bold{432\:m^3}

Total surface area of the cuboid:

The T.S.A. of the cuboid is,

= 2 (lb + bh + hl)}}

= 2[(12\times 8) + (8\times 4.5)\times (4.5 \times 12)]

= 2[96 + 36+ 54]

= 2\times 186

= \bold{372\:m^2}

Lateral surface area of the cuboid:

The L.S.A. of the cuboid is,

= 2 h (l + b)

= 2\times 4.5 \times (12 + 8)

= 2\times 4.5 \times 20

= \bold{180 \:m^2}

The volume of the cuboid is 432 m³.

The total surface area of the cuboid is 372 m².

The lateral surface area of the cuboid is 180 m².

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