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
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.
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.
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.