Question

Find the volume, lateral surface area and the total surface area of the cuboid

whose dimensions are:

(i) Length = 22 cm, breadth = 12 cm and height = 7. 5 cm


Find only T.S.A​

Answer 1

here's ur answer

hope it helps you

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Answer 2

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\green{\therefore{\text{T.S.A\:of\:cuboid=1038\:cm}^{2}}}$

$\green{\therefore{\text{L.S.A\:of\:cuboid=700\:cm}^{2}}}$

$\green{\therefore{\text{Volume\:of\:cuboid=1980\:cm}^{3}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\green{ \underline \bold{Given : }} \\ : \implies \text{Length(l) = 22\: cm} \\ \\ : \implies \text{Breadth(b) = 12\: cm} \\ \\ : \implies \text{Height(h) = 7.5\: cm} \\ \\ \red{ \underline \bold{To \: Find : }} \\ : \implies \text{T.S.A \: of \: cuboid = ? }\\\\ :\implies \text{L.S.A\:of\:cuboid=?}\\\\ :\implies \text{Volume\:of\:cuboid=?}$

• According to given question :

$\bold{As \: we \: know \: that} \\ : \implies \text{T.S.A \: of \: cuboid} = 2(lb + bh + hl) \\ \\ : \implies \text{T.S.A \: of \: cuboid} = 2(22 \times 12 + 12 \times 7.5+ 7.5 \times 22) \\ \\ : \implies \text{T.S.A \: of \: cuboid} = 2(264 + 90 + 165) \\ \\ : \implies \text{T.S.A \: of \: cuboid} = 2 \times 519\\ \\ \green{: \implies \text{T.S.A \: of \: cuboid = 1038 \:{cm}}^{2} }$

$\bold{As \: we \: know \: that} \\ : \implies \text{L.S.A \: of \: cuboid} = 2(l+b)\times h\\ \\ : \implies \text{L.S.A \: of \: cuboid} = 2(22+12)\times 7.5 \\ \\ : \implies \text{T.S.A \: of \: cuboid} = 2\times 34\times 7.5\\ \\ : \implies \text{L.S.A \: of \: cuboid} = 2 \times 255\\ \\ \green{: \implies \text{L.S.A \: of \: cuboid = 510\:{cm}}^{2} }$

$\bold{As \: we \: know \: that} \\ : \implies \text{Volume \: of \: cuboid} = l\times b\times h\\ \\ : \implies \text{Volume\: of \: cuboid} = 22\times12\times 7.5 \\ \\ \green{: \implies \text{Volume \: of \: cuboid = 1980\:{cm}}^{3} }$