how to find the volume of a triangular prism

VOLUME OF TRIANGULAR PRISM

In a 3-D figure, if the base is a rectangle or square, two of the side walls side walls are triangles and other two side walls are rectangles or squares, then the 3-D figure is called triangular prism.

Any triangular prism will look like the one shown below.

The formula to find volume of the above triangular prism is

= (1/2) x Base area x Height

Important Note :

The above formula will work only if the given figure meets the following conditions.

(i) The base must be a rectangle or square.

(ii) Two of the side walls side walls must be triangles

(iii) Other two side walls must be rectangles or squares.

Examples

Example 1 :

Find the volume of the prism.

Solution :

Step 1 :

In the given prism, the base is a rectangle, two of the side walls are triangles and other two side walls are rectangles.

So, the given prism is a triangular prism.

Step 2 :

Volume of a triangular prism = (1/2) x base area x height

V = (1/2) x b x h

Step 3 :

Find base area

Base area = l x w

Base area = 528

Base area = 528 sq.m

Step 4 :

Find volume of the triangular prism

V = (1/2) x b x h

V = (1/2) x (528) x 7

V = 1848 cubic meters.

So, the volume of the given prism is 1848 cubic meters.

Example 2 :

Bradley's tent is in the shape of a triangular prism shown below. How many cubic feet of space are in his tent ?

Solution :

Step 1 :

To find the number of cubic feet of space in Bradley's tent, we have to find the volume of his tent.

Step 2 :

Volume of a triangular prism = (1/2) x base area x height

V = (1/2) x b x h

Step 3 :

Find base area

Base area = l x w

Base area = 9 x 6

Base area = 54 sq.ft

Step 4 :

Find volume of the triangular prism

V = (1/2) x b x h

V = (1/2) x (54) x 4

V = 108 cubic.ft

So, the number of cubic feet of space in Bradley's tent is 108.

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

If you have any feedback about our math content, please mail us :

v4formath@gmail.com

We always appreciate your feedback.

You can also visit the following web pages on different stuff in math.

WORD PROBLEMS

HCF and LCM word problems

Word problems on simple equations

Word problems on linear equations

Word problems on quadratic equations

Algebra word problems

Word problems on trains

Area and perimeter word problems

Word problems on direct variation and inverse variation

Word problems on unit price

Word problems on unit rate

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

Double facts word problems

Trigonometry word problems

Percentage word problems

Profit and loss word problems

Markup and markdown word problems

Decimal word problems

Word problems on fractions

Word problems on mixed fractrions

One step equation word problems

Linear inequalities word problems

Ratio and proportion word problems

Time and work word problems

Word problems on sets and venn diagrams

Word problems on ages

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

Profit and loss shortcuts

Percentage shortcuts

Times table shortcuts

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

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

Sum of all three four digit numbers formed using 0, 1, 2, 3

Sum of all three four digit numbers formed using 1, 2, 5, 6