Question

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

Answer 1

hope it will help you

Answer 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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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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