Pyramids

Q. A square pyramid has congruent triangles.

1. \N
2. 2
3. 4
4. 6

Q. If two cubes of volume $216m^3$ are joined end to end to form a cuboid, then find the volume and total surface area of the cuboid.

1. $216m^3,160m^2$
2. $432m^3,380m^2$
3. $432m^3,360m^2$
4. $430m^3,180m^2$

Q.

Find F, V and E for the following solids and verify Euler’s formula (i) Pentagonal based prism (ii) Hexagonal based prism (iii) Octagonal Pyramid.

Q. Find the surface area of the cuboidal box which is open at the top, if:
l=length of the cuboid,
b=breadth of the cuboid and
h=height of the cuboid

1. Surface Area = 2(lb+bh+lh)
2. Surface Area = 2lb+2bh+hl
3. Surface Area = lb+2bh+2hl
4. Surface Area = 2lb+bh+2hl

Q.

All the faces of a pyramid (square, rectangular, triangular ) are triangles.

1. True
2. False

Q. Find the volume of the cuboid with length = 5 km, breadth = 6 m and height = 1.5 m.

1. $45m^3$
2. $45,000m^3$
3. $90m^3$
4. $90,000m^3$

Q. Applying the idea we just learned, Find the surface area of the cuboidal box which is open at the top, if:
l=length of the cuboid,
b=breadth of the cuboid and
h=height of the cuboid

1. Surface Area = 2(lb+bh+lh)
2. Surface Area = lb+2bh+2hl
3. Surface Area = 2lb+2bh+hl
4. Surface Area = 2lb+bh+2hl

Q.

Using cardboard construct the following polyhedral:

(i) A square based prism (ii) Square based pyramid (iii) Hexagonal based pyramid.

Q.

In the given figure, ΔABC has been constructed similar to ΔABC. What is the scale factor?

1. 

2. 

3. 

4. 

Q.

A square pyramid has ___ triangular faces.

1. 6

2. 4

3. 5

4. 7

Q.

Osho was instructed to make a hexagonal pyramid during math lab. To construct such a pyramid he would require one hexagonal base and ___ isosceles triangles.

1. 5

2. 6

3. 8

4. 12

Q. The base polygon of a pyramid can be a/an polygon.

1. regular
2. irregular
3. regular or irregular

Q.

In the given figure ΔA'BC' has been constructed similar to the fiven ΔABC.

The scale factor in this is

1. 

2. 

3. 

4. 

Q. There is a thin metal plate of length and breadth 2M mm and 2K mm respectively. Its thickness is 1 mm. ‘N’ number of plates are placed one on top of the other. What is the object formed and what is its volume in $m{m}^3?$

1. Cuboid, MKN
2. Cuboid, 4MKN
3. Cylinder, 2 MKN
4. Sphere, 4MKN

Q. A store room in the form of a cuboid has dimensions $42m\times 35m\times 21m.$ How many cuboidal boxes can be stored in it if the volume of each box is $0.7m^3?$

1. 44100
2. 44000
3. 30870
4. 4200

Q.

Using cardboard construct the following polyhedral:

(i) A square based prism (ii) Square based pyramid (iii) Hexagonal based pyramid.

Q. Find the total surface area of a cube whose volume is $64m^3.$

1. $4m^2$
2. $96m^2$
3. $64m^2$
4. $24m^2$

Q. The given pyramid is a/an .

1. square pyramid
2. irregular pyramid
3. regular pyramid

Q. Which type of pyramid is shown below? (i.e regular or irregular)

Q. A copper rod of diameter 2 cm length 10 cm is drawn into a wire of uniform thickness and length 10 m. Find the thickness of the wire.