Advertisements
Advertisements
Question
A cuboidal wooden block contains 36 cm3 wood. If it be 4 cm long and 3 cm wide, find its height.
Advertisements
Solution
\[\text { A cuboidal wooden block contains 36 } {cm}^3 \text { of wood } . \]
\[\text { i . e . , volume } = 36 {cm}^3 \]
\[\text { Length of the block = 4 cm }\]
\[\text { Breadth of block = 3 cm }\]
\[\text { Suppose that the height of the block is h cm }\]
\[\text { Now, volume of a cuboid = lenght } \times \text { breadth }\times\text { height }\]
\[ \Rightarrow 36 = 4 \times 3 \times h\]
\[ \Rightarrow 36 = 12 \times h\]
\[ \Rightarrow h = \frac{36}{12} = 3 cm\]
\[ \therefore\text { The height of the wooden block is 3 cm } .\]
RELATED QUESTIONS
A small indoor greenhouse (herbarium) is made entirely of glass panes (including base) held together with tape. It is 30 cm long, 25 cm wide and 25 cm high. What is the area of the glass?
Hameed has built a cubical water tank with lid for his house, with each other edge 1 .5 m long. He gets the outer surface of the tank excluding the base, covered with square tiles of side 25 cm. Find how much he would spend for the tiles, if the cost of tiles is Rs. 360 per dozen.
What will be the height of a cuboid of volume 168 m3, if the area of its base is 28 m2?
A village, having a population of 4000, requires 150 litres water per head per day. It has a tank which is 20 m long, 15 m broad and 6 m high. For how many days will the water of this tank last?
If the sum of all the edges of a cube is 36 cm, then the volume (in cm3) of that cube is
The volume of a cuboid is 3456 cm3. If its length = 24 cm and breadth = 18 cm ; find its height.
A closed box measures 66 cm, 36 cm and 21 cm from outside. If its walls are made of metal-sheet, 0.5 cm thick; find :
(i) the capacity of the box ;
(ii) the volume of metal-sheet and
(iii) weight of the box, if 1 cm3 of metal weighs 3.6 gm.
If radii of two cylinders are in the ratio 4 : 3 and their heights are in the ratio 5: 6, find the ratio of their curved surfaces.
The external dimensions of an open wooden box are 65 cm, 34 cm, and 25 cm. If the box is made up of wood 2 cm thick, find the capacity of the box and the volume of wood used to make it.
