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Question 1 Volume And Surface Area Of Solids Exercise 15A

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

Answer:

ANSWER:

The area of only the curved part of a shape, excluding its base, is referred to as curved surface area (s).

The total surface area includes the base(s) as well as the curving component. It refers to the overall area covered by the object's surface.

The volume of an object or substance is the amount of space it takes up, measured in cubic units.

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

We know that

Volume of cuboid = l × b × h

By substituting the values we get

Volume of cuboid = 12 × 8 × 4.5

By multiplication

**Volume of cuboid = 432 cm3**

We know that

Lateral surface area of a cuboid = 2 (l + b) × h

By substituting the values

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

On further calculation

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

By multiplication

**Lateral surface area of a cuboid = 180cm2**

We know that

Total surface area of cuboid = 2 (lb + bh + lh)

By substituting the values

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

On further calculation

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

So we get

Total surface area of cuboid = 2 × 186

By multiplication

**Total surface area of cuboid = 372 cm2**

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