Introduction to Prisms

Q. Derivation of formula of total surface area of cube

Q. What is the total number of triangular faces in a triangular prism?

1. 2
2. 3
3. 1
4. 4

Q.

The tent for an exhibition is as shown below, with a half-cylinder on top of a rectangular prism.

What is the cost of making it, at the rate of 2000 rupees per square metre.

Q.

What is the perimeter of the base of the rectangular prism shown below?

1. 40 cm
2. 30 cm
3. 28 cm
4. 78 cm

Q.

A cuboidal water tank is $6m$ long, $5m$ wide and $4.5m$ deep. How many litres of water can it hold?

Q. Name the prism whose base is an 8 sided polygon.

1. Triangular prism
2. Hexagonal prism
3. Octagonal prism
4. Square prism

Q. The polygons on the top and bottom of a prism are called bases and the rectangular faces are called .

1. bottom faces
2. lateral faces
3. side faces

Q. The value of 2 litres is ________ cubic meters.

1. 2
2. 0.02
3. 0.002
4. 0.2

Q. The trunk of a tree is cylindrical and its circumference is 176 cm. If the length of the trunck is 3 m. Find the volume of the timber that can be obtained from the trunk.

Q.

Two identical prisms with right triangles as the base are joined to form a rectangular prism. The height of each right triangle is 4 m and base is 5 m. Find the perimeter of the base of the rectangular prism.

1. 19 m

2. 17 m

3. 16 m

4. 18 m

Q.

A solid rectangle has length, breadth and height = 15 cm, 8 cm & 20 cm respectively. It is cut into two triangular prisms along the diagonal as shown in the figure. The Total surface area of each prism will be equal to:

1. $960c{m}^2$

2. $920c{m}^2$

3. $980c{m}^2$

4. $1020c{m}^2$

Q.

Question Statement: In the figures shown, each cube has a volume of 1 cubic unit. Compare the volume $V$ (in cubic units) of each rectangular prism to the area $B$ (in square units) of its base. What do you notice?

Q. Find the length of 13.2 kg of copper wire of diameter 4 mm, when 1 cubic cm of copper weighs 8.4 gm.

Q. The net shown below belongs to which of the following solids?

1. Rectangular pyramid
2. Rectangular prism
3. Cube
4. Triangular prism

Q.

What is the base perimeter of a rectangular prism which is formed by joining two identical right triangular prisms? It is given that each right triangle has a height of 2 m and base 4 m.

1. 12 m

2. 11 m

3. 17 m

4. 13 m

Q. Question 15

Which of the following shapes has a vertex?

Q.

Which of the following does not have volume?

1. Prism

2. Triangle

3. Cube

4. Rectangular box

Q.

FInd the solid that can be made by folding the given net.

1. Triangular Pyramid

2. Triangular Prism

3. Square Pyramid

4. Cuboid

Q.

A solid triangular prism with equilateral base is 5 centimetres high and its base perimeter is 12 centimetres. Find its surface area.

Q. Match the following prisms with their names.

1. Triangular Prism
2. Pentagonal Prism
3. Hexagonal Prism

Q. Which of the following is a hexagonal prism ?

1. 
2. 
3. 
4. 

Q. Question 65 (vi)

How many vertices does the following solid have?

Hexagonal Prism

Q.

The base radii of two cylinders are in the ratio 2 : 3 and their heights are in the ratio 5 : 4. What is the ratio of their volumes?

The volume of the first cylinder is 720 cubic centimetres. What is the volume of the second?

Q. The net shown below is that of a ______.

1. Rectangular pyramid
2. Rectangular prism
3. Cube
4. Triangular prism

Q.

The base of an isosceles trapezoidal prism has parallel sides measuring 7 cm and 9 cm. The non-parallel sides measure 6 cm each. What is the perimeter of the trapezoidal base?

1. 38 cm

2. 18 cm

3. 48 cm

4. 28 cm

Q.

The base of a prism is a right angled triangle with dimensions as follows: base =15 cm and altitude= 8 cm. If the height of the prism is 20 cm, the total surface area of the prism will be equal to:

1. $860{\text{cm}}^2$

2. $820{\text{cm}}^2$

3. $920{\text{cm}}^2$

4. $960{\text{cm}}^2$

Q. A river 2 m deep and 45 m wide is flowing at the rate of 3 km per hour. Find the volume of water that runs into the sea per minute.

Q.

A prism with a square base of side 6 cm, is 10 cm high. The volume of the prism is :

1. $240c{m}^3$
   

2. $320c{m}^3$
   

3. $180c{m}^3$
   

4. $360c{m}^3$

Q.

A godown measures 40 m × 25 m × 15 m. Find the maximum number of wooden crates each measuring 1.5 m × 1.25 m × 0.5 m that can be stored in the godown.

Q.

43 cubic metre = __litres.