FIND THE VOLUME OF PYRAMID

Volume of pyramid = (1/3) × Base area × Height

For rectangular pyramid,

Base Area = Length × Width

=  (1/3) × Length × Width × Height

For triangular pyramid,

Base Area = 1/2 × base × height

=  (1/3) × (1/2) × base × height × Height

Find the volume of the following Pyramid.

Problem 1 :

Solution :

Formula to find volume of pyramid is

= (1/3) × Base area × Height

Here Base Area is the rectangular shape.

So, Base Area =  length × width

= (1/3) ×  length × width × Height

We have,

Length = 2 ft, Width = 1 ft, and Height = 2 ft

= (1/3) × 1 × 2 × 2 

= 4/3

V = 1.33 ft³

Problem 2 :

Solution :

Formula to find volume of pyramid is

= (1/3) × Base area × Height

Base area of the pyramid = 15mm²

Height of the pyramid = 4 mm.

Then, volume of the pyramid is

= (1/3) × 15 × 4

V = 20 mm³

Problem 3 :

Solution :

Volume = (1/3) × Base area × Height

Here Base Area is the triangular shape.

So, Base Area =  1/2 × base × height

Here base = 5 yd, height (h₁) = 4 yd

= 1/2 × 5 × 4

= 10 yd²

We have,

Base Area = 10 yd² and Height = 8 yd

= (1/3) × 10 × 8

= (80)/3

V = 26.66 yd³

Problem 4 :

Solution :

Volume = (1/3) × Base area × Height

Here Base Area is the triangular shape.

So, Base Area =  1/2 × base × height

Here base = 10 in, height (h₁) = 6 in

= 1/2 × 10 × 6

= 30 in²

We have,

Base Area = 30 in² and Height (h₂)= 8 in

= (1/3) × 30 × 8

V = 80 in³

Problem 5 :

Solution :

Volume = (1/3) × Base area × Height

Here Base Area is the rectangular shape.

So, Base Area =  length × width

= (1/3) ×  length × width × Height

We have,

Length = 3 cm, Width = 1 cm, and Height = 7 cm

= (1/3) × 3 × 1 × 7

V = 7 cm³

Problem 6 :

Solution:

Volume = (1/3) × Base area × Height

Base of the pyramid = 63mm²

Height of the pyramid = 12 mm.

= (1/3) × 63 × 12

V = 252 mm³