Find the volume, the lateral surface area, and the total surface area of the cuboid whose dimensions are:
length = 15m, breadth = 6m and height = 5dm
ANSWER:
The area occupied by only the curved part of the shape, omitting its base, is referred to as the curved surface area (s).
The total surface area includes the base (s) and the curving section. It is the whole area covered by the object's surface.
The volume of an object or substance is the amount of space it takes up in cubic units.
It is given that length = 15m, breadth = 6m and height = 5dm = 0.5m
We know that
Volume of cuboid = l × b × h
By substituting the values we get
Volume of cuboid = 15 × 6 × 0.5
By multiplication
Volume of cuboid = 45 m3
We know that
Lateral surface area of a cuboid = 2 (l + b) × h
By substituting the values
Lateral surface area of a cuboid = 2 (15 + 6) × 0.5
On further calculation
Lateral surface area of a cuboid = 2 × 21 × 0.5
By multiplication
Lateral surface area of a cuboid = 21 m2
We know that
Total surface area of cuboid = 2 (lb + bh + lh)
By substituting the values
Total surface area of cuboid = 2 (15 × 6 + 6 × 0.5 + 15 × 0.5)
On further calculation
Total surface area of cuboid = 2 (90 + 3 + 7.5)
So we get
Total surface area of cuboid = 2 × 100.5
By multiplication
Total surface area of cuboid = 201 m2
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