Advertisements
Advertisements
प्रश्न
What will be the height of a cuboid of volume 168 m3, if the area of its base is 28 m2?
Advertisements
उत्तर
\[\text { Volume of the cuboid = 168 } m^3 \]
\[\text { Area of its base = 28 } m^2 \]
\[\text { Let h m be the height of the cuboid } . \]
\[\text{ Now, we have the following: } \]
\[\text { Area of the rectangular base = lenght } \times \text { breadth }\]
\[\text { Volume of the cuboid = lenght }\times\text { breadth } \times \text { height }\]
\[ \Rightarrow \text { Volume of the cuboid = (area of the base) } \times \text { height }\]
\[ \Rightarrow 168 = 28 \times h\]
\[ \Rightarrow h = \frac{168}{28} = 6 m\]
\[ \therefore\text { The height of the cuboid is 6 m } .\]
संबंधित प्रश्न
The volume of a cuboidal box is 48 cm3. If its height and length are 3 cm and 4 cm respectively, find its breadth.
Find the volume in cubic metre (cu. m) of the cuboid whose dimensions islength = 4 m, breadth = 2.5 m, height = 50 cm.
The walls and ceiling of a room are to be plastered. The length, breadth and height of the room are 4.5 m, 3 m and 350 cm, respectively. Find the cost of plastering at the rate of Rs 8 per square metre.
A rectangular water reservoir contains 105 m3 of water. Find the depth of the water in the reservoir if its base measures 12 m by 3.5 m.
The dimensions of a rectangular box are in the ratio of 2 : 3 : 4 and the difference between the cost of covering it with sheet of paper at the rates of Rs 8 and Rs 9.50 per m2 is Rs. 1248. Find the dimensions of the box.
The length of the longest rod that can be fitted in a cubical vessel of edge 10 cm long, is
The sum of the length, breadth and depth of a cuboid is 19 cm and its diagonal is ` 5 sqrt(5)` cm. Its surface area is
The height of a rectangular solid is 5 times its width and its length is 8 times its height. If the volume of the wall is 102.4 cm3, find its length.
The length, breadth, and height of a cuboid (rectangular solid) are 4 : 3: 2.
(i) If its surface area is 2548 cm2, find its volume.
(ii) If its volume is 3000 m3, find its surface area.
The total surface area of a cuboid with dimension 10 cm × 6 cm × 5 cm is
