3. (a) The total surface area of a cuboid is 6,512 sq cm and the perimeter of its square end is 88 cm.
Find the volume of the cuboid.
Answers
Answered by
2
Step-by-step explanation:
given,
the total surface area of cuboid =6512 sq cm
the perimeter of its square end =88cm
the volume of the cuboid =lbh
Answered by
1
ANSWER:
Circumference of its base = 88 cm
So,
2πr = 88
2×22/7×r=88
r=(88×7)/44
r = 14 cm
Therefore the radius of the base = 14 cm
TSA of the cylinder = 6512 cm square
2πr(r+h) = 6512
2×22/7×14(14+h) = 6512
616/7 (14+h) = 6512
14+h = (6512×7)/616
h =74-14
h = 60
Therefore, the height of the cylinder = 60 cm
The volume of the cylinder= πr²h
= 22/7 × 14×14×60
= 22×2×14×60
Volume = 36960 cu.cm
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