Find the volume, the lateral surface area, and the total surface area of the cuboid whose dimensions are:
length = 24m, breadth = 25cm and height = 6m.
ANSWER:
The area of only the curved component of a shape, omitting the base, is referred to as the curved surface area (s).
The region that includes the base (s) and the curving component is referred to as the total surface area. It refers to the whole area of the object's surface.
The volume of an object or substance is the quantity of space that it takes up, measured in cubic units.
It is given that length = 24m, breadth = 25cm = 0.25m and height = 6m
We know that
Volume of cuboid = l × b × h
By substituting the values we get
Volume of cuboid = 24 × 0.25 × 6
By multiplication
Volume of cuboid = 36 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 (24 + 0.25) × 6
On further calculation
Lateral surface area of a cuboid = 2 × 24.25 × 6
By multiplication
Lateral surface area of a cuboid = 291 m2
We know that
Total surface area of cuboid = 2 (lb + bh + lh)
By substituting the values
Total surface area of cuboid = 2 (24 × 0.25 + 0.25 × 6 + 24 × 6)
On further calculation
Total surface area of cuboid = 2 (6 + 1.5 + 144)
So we get
Total surface area of cuboid = 2 × 151.5
By multiplication
Total surface area of cuboid = 303 m2
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