How to Calculate the Volume of Limas and Cube



How to Calculate the Volume of Limas and Cube - Previous basic Mathematical Formulas 've covered the basic concepts to find the volume of both woke up this space. You can learn it one by one in the article about How to Calculate the Volume formula Cube and Beam and Formula Method for Volume Limas . To further hone your ability in the matter, this time we will be back to discuss about how to find the volume of a cube and pyramid through some example problems and ways of solution. Refer to the discussion below:


Calculates Volume Limas

Limas geometrical base is multifaceted (triangles, rectangles, pentagons, etc.) where the enforcement side has a triangular shape that intersect at one point. The point of intersection is called the culmination of a pyramid. A common formula used to calculate the volume of a pyramid is:

V = 1/3 x area of ​​base x height

let's just look at an example problems below:


Example Problem 1:
A pyramid which has a triangular pedestal 8cm in length and 7cm wide. When the height of the pyramid is 12cm, then what is the volume?

Solved:

V = 1/3 x area of ​​base x height

because a triangular base then the formula
changed to:

V = 1/3 x (1 / 2 pxl) xt
V = 1/3 x (1/2 x 8 x 7) x 12
V = 1/3 x (1/2 x 56) x 12
V = 1/3 x 28 x 12
V = 1/3 x 336
V = 168 cm [1945922million] 3



Example Problem 2
A pyramid rectangle has a length of ribs 18cm, determine volume!

Solved:

Will you see the following picture:
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The manual way:
AC2 = AB 2 + BC 2
AC2 = 18 [1945922million] 2 + 18 [1945922million] 2
AC = 18√2 cm
and
EC = ½ AC = 9√2 cm

Now find high pyramid (ET), namely:
ET2 = CT [1945922million] 2 - EC [1945922million] 2
ET2 = 18 [1945922million] 2 - (9√2) [1945922million] 2
ET2 = 162
ET = 9√2

the volume of the pyramid can be calculated by the formula:
V = (1/3) × × AB × BC ET
V = (1/3) × 18 × 18 × 9√2
V = 972√2 cm 3

How fast:
V = (1/6) s [1945922million] 3 √2
V = (1/6) (18 cm) 3√2
V = 972√2 cm [1945922million] 3

Thus, the volume of the rectangular pyramid is 972√2 cm [1945922million] 3


Calculates Volume Cube

the cube is a six-uniform field with the same rib length that each field has a square shape. To calculate the volume commonly used formula:

V = area of ​​base x height

volume cube can also be written by the following equation:

V = s 2 × s
V = s 3

Immediately, we learned into the sample questions below:


Example Problem 3
Given the long diagonal of a cube is 24 cm. Find the volume of the cube.

Solved:
To calculate the volume of a cube first we seek first the side length of the cube , you can use a long formula diagonal cube space the following:

d = s√3
s = d / √3
s = 24 / √3
s = 8√3 cm

the volume of the cube can be calculated by the formula:

V = s 3
V = (8√3 cm) [1945922million] 3
V = 1536√3 cm [1945922million] 3

Thus, the volume of the cube is 1536√3 cm [1945922million] 3


That was some examples of questions about How Men Volume ghitung Limas and Cube if you encounter any obstacles in understanding the discussion above, please convey to the comments field below. Happy learning !!!

Gilalogie

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