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
\[\text { A cuboidal wooden block contains 36 } {cm}^3 \text { of wood } . \]
\[\text { i . e . , volume } = 36 {cm}^3 \]
\[\text { Length of the block = 4 cm }\]
\[\text { Breadth of block = 3 cm }\]
\[\text { Suppose that the height of the block is h cm }\]
\[\text { Now, volume of a cuboid = lenght } \times \text { breadth }\times\text { height }\]
\[ \Rightarrow 36 = 4 \times 3 \times h\]
\[ \Rightarrow 36 = 12 \times h\]
\[ \Rightarrow h = \frac{36}{12} = 3 cm\]
\[ \therefore\text { The height of the wooden block is 3 cm } .\]
APPEARS IN
RELATED QUESTIONS
A cubical box has each edge 10 cm and another cuboidal box is 12.5 cm long, 10 cm wide and 8 cm high.
(i) Which box has the greater lateral surface area and by how much?
(ii) Which box has the smaller total surface area and by how much?
The length of a hall is 18 m and the width 12 m. The sum of the areas of the floor and the
flat roof is equal to the sum of the areas of the four walls. Find the height of the hall.
A closed iron tank 12 m long, 9 m wide and 4 m deep is to be made. Determine the cost of iron sheet used at the rate of Rs. 5 per metre sheet, sheet being 2 m wide.
The dimensions of a room are 12.5 m by 9 m by 7 m. There are 2 doors and 4 windows in the room; each door measures 2.5 m by 1 .2 m and each window 1 .5 m by I m. Find the cost of painting the walls at Rs. 3.50 per square metre.
A milk container is 8 cm long and 50 cm wide. What should be its height so that it can hold 4 litres of milk?
A swimming pool is 20 m long 15 m wide and 3 m deep. Find the cost of repairing the floor and wall at the rate of Rs 25 per square metre.
A cuboid has total surface area of 50 m2 and lateral surface area is 30 m2. Find the area of its base.
Three cubes of metal whose edges are in the ratio 3 : 4 : 5 are melted down in to a single cube whose diagonal is 12 `sqrt(3)` cm. Find the edges of three cubes.
Four cubes, each of edge 9 cm, are joined as shown below :
Write the dimensions of the resulting cuboid obtained. Also, find the total surface area and the volume
The dining-hall of a hotel is 75 m long; 60 m broad and 16 m high. It has five – doors 4 m by 3 m each and four windows 3 m by 1.6 m each. Find the cost of :
(i) papering its walls at the rate of Rs.12 per m2;
(ii) carpetting its floor at the rate of Rs.25 per m2.
