EQUILATERAL TRIANGLE

EQUILATERAL TRIANGLE

- is a triangle in which all three sides measures equal with each other.

Illustration:

Formula:

 

where:

A = Area

a = one side

Problem:

1. Find the area of a shape that has equal shape of a triangle with equal sides that measures 3 meters on one side.

Given:

a = 3 meters

Required: Area

Solution:

    = 

A = 1.71(3m) ² / 4 = 3.8475 sq. meters; final answer 

EQUILATERALTRIANGLE

[Continue reading...]

VOLUME OF A CUBE

VOLUME OF A CUBE

DEFINITION:

Volume - the amount of space occupied by a three-dimensional object as measured in cubic units.

Illustration:

Formula:

V = S * S * S = S³

where:

S = side

Problems:

1. Find the volume of a cube whose side measures 2 meters.

Given:

S = 2 meters.

Required: Volume

Solution:

V = S * S * S = S³
     = 2 m * 2 m * 2 m

    = 8 cubic meters; final answer

2. What is the volume of a cube whose one side measures 3 feet?

Given:

S = 3 ft..

Required: Volume

Solution:

V = S * S * S = S³

   =3 ft. 3 ft. 3 ft. 

    = 27 cubic feet; final answer

3.The side of a cube has a measure of 4 inches. What is its dimension?

Given:

S = 4 in.

Required: Volume

Solution:

V = S * S * S = S³

   = 4 in. * 4 in. * 4 in. 

    = 64 cubic inch; final answer

[Continue reading...]