Relationship between Sides of Base & Faces of Pyramid

Q.

A storeroom in the form of a cuboid has measures $54m\times 30m\times 24m$. How many cuboidal boxes can be stored in it if the volume of one box is $2.4m^3$?

1. 24660

2. 8100

3. 32400

4. 16200

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. 30870
2. 44000
3. 44100
4. 4200

Q.

All edges of a square pyramid are of equal lengths. If the length of the base edge is $20cm$, what is the slant height?

1. $10\sqrt{3}$

2. $100\sqrt{3}$

3. 300

4. 150

Q.

The surface area of a cuboid is 1372 $c{m}^2$. If the ratio length : breadth : height is 4:2:1, then its length (in $cm$) is

1. 7

2. 14

3. 21

4. 28

Q.

The volume of square pyramid of base edge 5 m and height 12 m is (in cubic centimetres) :

1. 75 sq. m

2. 64 sq. m

3. 100 sq. m

4. 90 sq. m

Q.

The volume of a square pyramid of base edge 5 m and height 12 m is (in cubic metres) :

1. 100

2. 64

3. 75

4. 90