Question

find total surface area of cuboid if volume is 1365cm and lateral surface area is 392​

Answer 1

Step-by-step explanation:

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Class 9

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>>Surface Areas and Volumes

>>Surface Area of Cubes and Cuboids

>>Find the volume, the lateral surface are

Question

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Find the volume, the lateral surface area and the total surface area of the cuboid whose dimensions are :

length =12cm, breadth =8cm and height =4.5cm

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Solution

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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