Hey !
Question :
Find the surface area of cuboid .
Given :
- Length of Cuboid = 16 inches
- Breadth of Cuboid = 7 inches
- Height of Cuboid = 9 inches
To Find :
- We have to find the surface area of given cuboid .
Concept :
The concept of this question belongs to surface areas of different three dimensional shapes . Whether they are cuboid , cube , cylinder , cone and many more .
Formula Used :
![\boxed{\sf{ \pink{Surface \: Area \: of \: cuboid=} \pink{2(lw + wh + hl)}}}](https://img.qammunity.org/2023/formulas/mathematics/college/wnn81rftj1swbl4vz6h7uembq4pzwk7dpa.png)
Where ,
- l = length height of cuboid
- w = width height of cuboid
So Starting Our Solution :
Substituting value in formula ,
![\longmapsto \: 2 ((16 * 7) + (7 * 9) + 9 * 16)](https://img.qammunity.org/2023/formulas/mathematics/college/vs3ck3cswancxznp4qzi8vfzfexax4fioj.png)
Now ,
![\longmapsto \: 2(112 + 63 + 144)](https://img.qammunity.org/2023/formulas/mathematics/college/7yoxngib8n4np21odbja7gtn485f5dqxao.png)
Adding the values which are inside bracket ,
![\longmapsto \: 2(319)](https://img.qammunity.org/2023/formulas/mathematics/college/grkf1ta3w8795ep9eatp69e6wvbinwew03.png)
Now multiplying 319 by 2 ,
![\longmapsto \: \bold{ 638 \: inches {}^(2) }](https://img.qammunity.org/2023/formulas/mathematics/college/776i22qpn20w147r0z7mlmhi57yvyd2mp9.png)
Therefore ,
![\boxed{ \sf \pink{Surface \: area \: of cuboid = 638 \: in {}^(2) }}](https://img.qammunity.org/2023/formulas/mathematics/college/44bs8v8o5hh3wten1963b9362pj4fe9ag9.png)
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