Find the volume, surface area and total surface area
length=22cm, breadth=12and. height=7.5
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Question:Find the volume, surface area and total surface area of cuboid of length=22cm, breadth=12and. height=7.5
Answer:
Given Length=22cm, breadth=12cm and height=7.5cm
We know that volume of cuboid= length×breadth × height
V = (22 × 12 × 7.5) V = 1980cm3
We know that, total surface area of cuboid= 2(l b + b h + h l)
Surface area = 2 (22 × 12 + 12 × 7.5 + 7.5 × 22) Surface area = 2 (264 + 165 + 90)
Total Surface area = 1038cm2
We know that lateral area of cuboid= 2 [(l + b) × h]
Lateral surface area = 2 [(22 + 12) × 7.5]
Lateral surface area = 510 cm2
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Correct Question :-
Find the volume, surface area and lateral surface area :-
- Length = 22 cm
- Breadth = 12 cm
- Height = 7.5 cm
Answer ::
- The volume of cuboid is 2475cm³
- The surface area of cuboid is 1215cm²
- The lateral surface area of cuboid is 555cm²
Step-by-step explanation :-
To Find :-
- The volume
- The surface area
- Lateral surface area
Solution :-
As we know that,
Volume of cuboid :- ( l × b × h ) units,
➟ ( 22 × 15 × 7.5 )
➟ 2475
The volume of cuboid is 2475cm³.
As we know that,
Surface area of cuboid :- 2 ( lb + bh + hl ) sq. units,
➟ 2 ( 22*15 + 15*7.5 + 7.5*22 )
➟ 2 ( 330 + 112.5 + 165 )
➟ 2 × 607.5
➟ 1215
The surface area of cuboid is 1215cm².
As we know that,
Lateral surface area of cuboid :- 2 [ ( l + b ) × h ] sq. units,
➟ 2 [ ( 22 + 15 ) × 7.5 ]
➟ 2 [ 37 × 7.5 ]
➟ 2 × 277.5
➟ 555
The lateral surface area of cuboid is 555cm².
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