# Introduction to Prisms

## Trending Questions

**Q.**Derivation of formula of total surface area of cube

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

- 2
- 3
- 1
- 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?

- 40 cm
- 30 cm
- 28 cm
- 78 cm

**Q.**

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

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

- Triangular prism
- Hexagonal prism
- Octagonal prism
- Square prism

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

- bottom faces
- lateral faces
- side faces

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

- 2
- 0.02
- 0.002
- 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.

19 m

17 m

16 m

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:

960 cm2

920 cm2

980 cm2

1020 cm2

**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?

- Rectangular pyramid
- Rectangular prism
- Cube
- 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.

12 m

11 m

17 m

13 m

**Q.**Question 15

Which of the following shapes has a vertex?

**Q.**

Which of the following does not have volume?

Prism

Triangle

Cube

Rectangular box

**Q.**

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

Triangular Pyramid

Triangular Prism

Square Pyramid

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.

- Triangular Prism
- Pentagonal Prism
- Hexagonal Prism

**Q.**Which of the following is a hexagonal prism ?

**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 ______.

- Rectangular pyramid
- Rectangular prism
- Cube
- 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?

38 cm

18 cm

48 cm

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:

860 cm2

820 cm2

920 cm2

960 cm2

**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 :

240cm3

320cm3

180cm3

360cm3

**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 =