Advertisements
Advertisements
Question
Find the surface area of a cuboid whoselength = 3.2 m, breadth = 30 dm, height = 250 cm.
Advertisements
Solution
\[\text { Dimensions of the cuboid: } \]
\[\text { Length = 3 . 2m }\]
\[ = 3 . 2 \times 10 dm (1 m = 10 dm)\]
\[ = 32 dm\]
\[\text { Breadth = 30 dm } \]
\[\text { Height = 250 cm }\]
\[ = 250 \times \frac{1}{10}dm (10cm = 1 dm)\]
\[ = 25 dm\]
\[\text { Surface area of the cuboid = 2 } \times (\text { length } \times \text { breadth + breadth}\times \text { height + length } \times\text { height })\]
\[ = 2 \times (32 \times 30 + 30 \times 25 + 32 \times 25)\]
\[ = 2 \times (960 + 750 + 800)\]
\[ = 5020 {dm}^2\]
RELATED QUESTIONS
Find the lateral surface area and total surface area of a cuboid of length 80 cm, breadth 40 cm and height 20 cm.
How much clay is dug out in digging a well measuring 3 m by 2 m by 5 m?
A rectangular field is 70 m long and 60 m broad. A well of dimensions 14 m × 8 m × 6 m is dug outside the field and the earth dug-out from this well is spread evenly on the field. How much will the earth level rise?
An 8 m long cuboidal beam of wood when sliced produces four thousand 1 cm cubes and there is no wastage of wood in this process. If one edge of the beam is 0.5 m, find the third edge.
The central hall of a school is 80 m long and 8 m high. It has 10 doors each of size 3 m × 1.5 m and 10 windows each of size 1.5 m × 1 m. If the cost of white-washing the walls of the hall at the rate of Rs 1.20 per m2 is Rs 2385.60, fidn the breadth of the hall.
The cost of preparing the walls of a room 12 m long at the rate of Rs 1.35 per square metre is Rs 340.20 and the cost of matting the floor at 85 paise per square metre is Rs 91.80. Find the height of the room.
Volume of a cuboid is 12 cm3. The volume (in cm3) of a cuboid whose sides are double of the above cuboid is
A solid cuboid of metal has dimensions 24 cm, 18 cm, and 4 cm. Find its volume.
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?
