A cuboid has a total surface area of 80 m 2^ and the lateral surface area of 50 m^2; the area of its base is : 1. 30 m^2 2. 60 m 2^ 3. 15 m^2 4. 10 m^2

The total surface area of the cuboid = 80 m 2 The lateral surface area of the cuboid = 50 m 2 As we know, the total surface area of the cuboid = 2(l x b \+ b x h \+ h x l) ⇒ 80 = 2(l x b \+ b x h \+ h x l) ⇒ 80 = 2(l x b) \+ 2(b x h) \+ 2(h x l) ..............(1) The lateral surface area of the cuboid = 2(l \+ b)h = 2(l x h \+ b x h) ⇒ 50 = 2(l x h) \+ 2(b x h) ..............(2) And, area of base = l x b Putting the value of 2(l x h) \+ 2(b x h) from equation (2) in equation (1), we get ⇒ 80 = 2(l x b) \+ 50 ⇒ 2(l x b) = 80 \- 50 ⇒ 2(l x b) = 30 ⇒ l x b = ⇒ l x b = 15 m 2 Hence, option 3 is the correct option.

JOIN NOW

Mathematics

A cuboid has a total surface area of 80 m² and the lateral surface area of 50 m²; the area of its base is :
30 m²
60 m²
15 m²
10 m²

Surface Area, Volume, Capacity

40 Likes

Answered By

8 Likes

Mathematics

A cuboid has a total surface area of 80 m² and the lateral surface area of 50 m²; the area of its base is :
30 m²
60 m²
15 m²
10 m²

Surface Area, Volume, Capacity

Related Questions

The length of a cuboid is doubled, breadth is halved and height is tripled, the volume of the cuboid will become :
1.5 times
2 times
three times
six times

Each side of a cube is tripled, its surface area will become :
3 times
six times
nine times
27 times

The length, the breadth and the height of a cuboid are in the ratio 5 : 3 : 2. If its volume is 240 cm³, find its dimensions. Also, find the total surface area of the cuboid.

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 dimensions. Also, find the volume of the cuboid.

Mathematics

A cuboid has a total surface area of 80 m2 and the lateral surface area of 50 m2; the area of its base is :30 m260 m215 m210 m2

Surface Area, Volume, Capacity

Related Questions

The length of a cuboid is doubled, breadth is halved and height is tripled, the volume of the cuboid will become :1.5 times2 timesthree timessix times

Each side of a cube is tripled, its surface area will become :3 timessix timesnine times27 times

The length, the breadth and the height of a cuboid are in the ratio 5 : 3 : 2. If its volume is 240 cm3, find its dimensions. Also, find the total surface area of the cuboid.

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 dimensions. Also, find the volume of the cuboid.

A cuboid has a total surface area of 80 m² and the lateral surface area of 50 m²; the area of its base is :
30 m²
60 m²
15 m²
10 m²

The length of a cuboid is doubled, breadth is halved and height is tripled, the volume of the cuboid will become :
1.5 times
2 times
three times
six times

Each side of a cube is tripled, its surface area will become :
3 times
six times
nine times
27 times

The length, the breadth and the height of a cuboid are in the ratio 5 : 3 : 2. If its volume is 240 cm³, find its dimensions. Also, find the total surface area of the cuboid.

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 dimensions. Also, find the volume of the cuboid.