Advertisements
Advertisements
प्रश्न
A cuboid has total surface area of 50 m2 and lateral surface area is 30 m2. Find the area of its base.
Advertisements
उत्तर
\[\text { Total sufrace area of the cuboid } = 50 m^2 \]
\[\text { Its lateral surface area = }30 m^2 \]
\[\text { Now, total surface area of the cuboid = 2 }\times (\text { surface area of the base) }+ \text { (surface area of the 4 walls) }\]
\[ \Rightarrow 50 = 2 \times\text { (surface area of the base) } + (30)\]
\[ \Rightarrow 2 \times\text { (surface area of the base) }= 50 - 30 = 20\]
\[ \therefore \text { Surface area of the base } = \frac{20}{2} = 10 m^2\]
APPEARS IN
संबंधित प्रश्न
There are two cuboidal boxes as shown in the adjoining figure. Which box requires the lesser amount of material to make?
 |
 |
| (a) | (b) |
Find the volume of a cuboid whose length = 12 cm, breadth = 8 cm, height = 6 cm.
Find the edge of a cube whose surface area is 432 m2.
If each edge of a cube is increased by 50%, the percentage increase in its surface area is
75 persons can sleep in a room 25 m by 9.6 m. If each person requires 16 m3 of the air; find the height of the room.
The breadth and height of a rectangular solid are 1.20 m and 80 cm respectively. If the volume of the cuboid is 1.92 m3; find its length.
The dimension of a class-room are; length = 15 m, breadth = 12 m and height = 7.5 m. Find, how many children can be accommodated in this class-room; assuming 3.6 m3 of air is needed for each child.
A room 5 m long, 4.5 m wide, and 3.6 m high have one door 1.5 m by 2.4 m and two windows, each 1 m by 0.75 m. Find :
(i) the area of its walls, excluding door and windows ;
(ii) the cost of distempering its walls at the rate of Rs.4.50 per m2.
(iii) the cost of painting its roof at the rate of Rs.9 per m2.
Find the volume of wood required to make a closed box of external dimensions 80 cm, 75 cm, and 60 cm, the thickness of walls of the box being 2 cm throughout.
A cube of edge 6 cm and a cuboid with dimensions 4 cm x x cm x 15 cm are equal in volume. Find:
(i) the value of x.
(ii) the total surface area of the cuboid.
(iii) the total surface area of the cube.
(iv) which of these two has a greater surface and by how much?
