Question

sum of Length breadth and height of a cuboid is 38 cm and the length of its diagonal is 22 cm find the total surface area of cuboid

Answer 1

Answer:Let the length, breadth and height of the cuboid be l cm, b cm and h cm respectively.

l+b+h=38-----------------[1]

Now, diagonal=22

√l²+b²+h²=22

l²+b²+h²=484---------------[2]

now,l+b+h=38

so,Squaring both sides, we get

(l + b + h)²=38²

l²+b²+h²+2lb+2bh+2lh=1444

484+2[lb+bh+lh]=1444

2[lb+bh+lh]= 1444-484=960 cm²

Step-by-step explanation: