**Volume of pyramid :**

Pyramid is basically a prism where all the side walls will be triangles and there will be no top portion.

To understand, how to find volume of a pyramid, let us consider the pyramid given below.

The formula to find volume of the above pyramid

**= (1/3) x Base area x Height**

**Problem 1 :**

Find the volume of the pyramid given below.

**Solution : **

**Volume of the pyramid = (1/3) x Base area x Height**

Here, the base is a square with side length 8 cm.

So, area of the base = 8 x 8 = 64 sq. cm

Height of the pyramid = 9 cm

Volume of the pyramid = (1/3) x 64 x 9

**Volume of the prism = 192 cubic cm**

**Problem 2 :**

Find the volume of the pyramid given below.

**Solution : **

**Volume of the pyramid = (1/3) x Base area x Height**

Here, the base is a rectangle with side length 10 inches and width 8 inches.

So, area of the base = 10 x 8 = 80 sq. inches

Height of the pyramid = 6 inches

Volume of the pyramid = (1/3) x 80 x 6

**Volume of the prism = 160 cubic inches**

**Problem 3 :**

Find the volume of the pyramid given below.

**Solution : **

**Volume of the pyramid = (1/3) x Base area x Height**

Here, the base is an equilateral triangle with side length of 8 cm.

So, area of the base = (√3 / 4) x (8)² = 16√3 sq. cm

Height of the pyramid = 10 cm

Volume of the pyramid = (16√3) x 10

**Volume of the prism = 8√3 / 5 cubic cm**

**Problem 4 :**

Find the volume of the pyramid given below.

**Solution : **

**Volume of the pyramid = (1/3) x Base area x Height**

Here, the base is a triangle with height 7 inches and base 8 inches.

So, area of the base = (1/2) x 8 x 7 = 28 sq. inches

Height of the pyramid = 9 inches

Volume of the pyramid = 28 x 9

**Volume of the prism = 252 cubic inches**

After having gone through the stuff given above, we hope that the students would have understood "Volume of a pyramid".

Apart from the stuff given above, if you want to know more about "Volume of a pyramid", please click here

Apart from the stuff, given on this web page, if you need any other stuff in math, please use our google custom search here.

HTML Comment Box is loading comments...

**WORD PROBLEMS**

**HCF and LCM word problems**

**Word problems on simple equations **

**Word problems on linear equations **

**Word problems on quadratic equations**

**Area and perimeter word problems**

**Word problems on direct variation and inverse variation **

**Word problems on comparing rates**

**Converting customary units word problems **

**Converting metric units word problems**

**Word problems on simple interest**

**Word problems on compound interest**

**Word problems on types of angles **

**Complementary and supplementary angles word problems**

**Markup and markdown word problems **

**Word problems on mixed fractrions**

**One step equation word problems**

**Linear inequalities word problems**

**Ratio and proportion word problems**

**Word problems on sets and venn diagrams**

**Pythagorean theorem word problems**

**Percent of a number word problems**

**Word problems on constant speed**

**Word problems on average speed **

**Word problems on sum of the angles of a triangle is 180 degree**

**OTHER TOPICS **

**Time, speed and distance shortcuts**

**Ratio and proportion shortcuts**

**Domain and range of rational functions**

**Domain and range of rational functions with holes**

**Graphing rational functions with holes**

**Converting repeating decimals in to fractions**

**Decimal representation of rational numbers**

**Finding square root using long division**

**L.C.M method to solve time and work problems**

**Translating the word problems in to algebraic expressions**

**Remainder when 2 power 256 is divided by 17**

**Remainder when 17 power 23 is divided by 16**

**Sum of all three digit numbers divisible by 6**

**Sum of all three digit numbers divisible by 7**

**Sum of all three digit numbers divisible by 8**

**Sum of all three digit numbers formed using 1, 3, 4**

**Sum of all three four digit numbers formed with non zero digits**