Volume of Regular Pyramids

Q.

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

1. 75

2. 100

3. 90

4. 64

Q.

Find the volume of the square pyramid, if one the triangular faces is given below.

1. 20

2. 50

3. 40

4. 30

Q.

The volume of a square pyramid of base edge 12 cm and height 18 cm is:

1. 112

2. 221

3. 121

4. 211

Q.

Sonu was making sand pyramids at the beach. He designed his pyramids with a base edge of 10 cm and height 33 cm. He would go collect wet sand with his small cylindrical bucket of radius 5 cm and 7 cm height. How many times does he need to collect the wet sand in order to construct his sand pyramid?

1. Surface area of cone = Surface area of sphere

2. Radius of cone = Radius of Radius of sphere

3. Height of cone = Height of cylinder

4. Volume of cone = volume of sphere

Q. If the height and the slant height of a square pyramid are $8cm$ and $10cm$ respectively, what is the volume of the pyramid?

1. $192cubiccentimetres$
2. $120cubiccentimetres$
   
3. $384cubiccentimetres$
4. $96cubiccentimetres$
   

Q. The slant height of a square pyramid is 10 cm and its surface area is 144 square centimetres. What is the volume of the square pyramid?

1. $384cubiccentimetres$
2. $100cubiccentimetres$
3. $400cubiccentimetres$
4. $192cubiccentimetres$

Q.

The ratio between the base edges of two square pyramids is 1:4. If the heights are also in the same ratio and the volume of the second pyramid is 400 cubic centimetres, what is the volume of the first square pyramid?

1. $16cubiccentimetres$

2. $6.25cubiccentimetres$

3. $4cubiccentimetres$

4. $20cubiccentimetres$

Q.

Nidhi constructed a square pyramid of base edge 10cm and height 6cm. Rahul made a square pyramid of base edge 5cm and height 24cm. What is the ratio of the volumes of the pyramids constructed by Nidhi and Rahul?

1. 1:1

2. 1:2

3. 2:1

4. 1:4

Q.

Which of the following represents the volume of a pyramid?

1. $\frac{1}{3}\times \text{Base area}\times \text{Slant height}$

2. $\frac{1}{3}\times \text{Base area}\times \text{Height}$

3. $\frac{1}{3}\times \text{Base edge}\times \text{Slant height}$

4. $\frac{1}{3}\times \text{Base edge}\times \text{Height}$

Q. Match the following for a square pyramid with base edge length 24 cm, and height 16 cm.

1. $960c{m}^2$
2. $1536c{m}^2$
3. $3072c{m}^3$