Question

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.​

Answer 1

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

Answer 2

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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