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:
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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