Mathematics
A cuboid is 8 m long, 12 m broad and 3.5 m high. Find its
(i) total surface area
(ii) lateral surface area
Surface Area, Volume, Capacity
1 Like
Answer
(i) Given:
Length of cuboid = 8 m
Breadth of cuboid = 12 m
Height of cuboid = 3.5 m
The total surface area of the cuboid = 2(l x b + b x h + h x l)
= 2 (8 x 12 + 12 x 3.5 + 3.5 x 8) m2
= 2 (96 + 42 + 28) m2
= 2 x 166 m2
= 332 m2
Hence, the total surface area of the cuboid is 332 m2.
(ii) Lateral surface area of cuboid = 2(l + b)h
= 2(8 + 12)3.5 m2
= 2 x 20 x 3.5 m2
= 140 m2
Hence, the lateral surface area of the cuboid is 140 m2.
Answered By
1 Like
Related Questions
Assertion (A) : The length, breadth and height of the cuboid are 15 cm, 12 cm and 9 cm respectively. Lateral surface area of the cuboid = 846 cm2.
Reason (R) : Lateral surface area of cuboid = 2 x h x (l + b) square units.
Both A and R are correct, and R is the correct explanation for A.
Both A and R are correct, and R is not the correct explanation for A.
A is true, but R is false.
A is false, but R is true.
Assertion (A) : If radius of a right circular cylinder is double and the height is reduced to of the original, the ratio of volume of new cylinder thus formed to the volume of the original cylinder is 1 : 1.
Reason (R) : Volume of a cylinder = πr2h where r is the radius of the circular base and h is height.
Both A and R are correct, and R is the correct explanation for A.
Both A and R are incorrect.
A is true, but R is false.
A is false, but R is true.
How many bricks will be required for constructing a wall which is 16 m long, 3 m high and 22.5 cm thick, if each brick measures 25 cm x 11.25 cm x 6 cm ?
The length, breadth and height of a cuboid are in the ratio 6 : 5 : 3. If its total surface area is 504 cm2, find its volume.