Question

9. Find the ratio of the total surface area to the lateral surface area of a cuboid whose dimensions are 8cm, 4cm and 3cm.​

Answer 1

Answer:

It is given that length =12 cm, breadth 8 cm and height =4.5cm

We know that

Volume of cuboid =l×b×h

Volume of cuboid =12×8×4.5

Volume of cuboid =432 cm

3

We know that

Lateral surface of a cuboid =2(l+b)×h

Lateral surface area of a cuboid =2(12+8)×4.5

Lateral surface area of a cuboid =2×20×4.5

Lateral surface area of a cuboid =180cm

2

We know that

Total surface area of cuboid =(Ib+bh+Ih)

Total surface area of cuboid =2(12××8+8×4.5+12×4.5)

Total surface area of cuboid =2(96+36+54)

Total surface area of cuboid =2×186

Total surface area of cuboid =372 cm

2