Question

An aquarium is in the form of a cuboid whose external measures are 80 cm × 30 cm × 40 cm. The base, side faces, and back face are to be covered with a coloured paper. Find the area of the paper needed.​

Answer 1

${\huge{\sf{\red{\underline{\underline{ᴀɴsᴡᴇʀ:}}}}}}$

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$\large \rm\underline{Given:-}$

$\sf{The~lenght~of~the~aquarium~=~l~=~80~cm}$

$\sf{Width~of~the~aquarium~=~b~=~30~cm}$

$\sf{Height~of~the~aquarium~=~h~=~40~cm}$

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$\large\rm\underline{To~find:-}$

The area of the coloured paper needed to cover the base, side faces and back face.

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$\large\rm\underline{Solution:-}$

$\sf{→~Area~of~the~base~=~l~×~b~=~80~×~30~=~{2400 cm}^{2}}$

$\sf{→~Area~of~the~side~face~=~b~×~h~=~30~×~40~=~{1200~cm}^{2}}$

$\sf{→~Area~of~the~back~face~=~l~×~h~=~80~×~40~=~{3200~cm}^{2}}$

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$\large\rm\underline{Required~area:-}$

$\sf{→~Area~of~the~base~+~area~of~the~back~face~+~(2~×~area~of~a~side~face)}$

$\sf{→~2400~+~3200~+~(2~×~1200)~=~{8000~cm}^{2}}$

$\rm\red{☆~Hence,~the~area~of~the~coloured~paper~required~is~{8000~cm}^{2}.}$

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