For this discussion your group must answer the following essential questions:
· How do you find the surface area of three dimensional solids, namely, a cube, rectangular solid, sphere, cone, cylinder, and triangular solid?
· How do you find the volume of geometric solids, namely, rectangular solid, triangular solid, trapezoidal solid, and pentagonal solid?
Your responses must be clear, concise, and must contain explanations that appeal to all learning styles in our classroom. You can create explanations with notes, pictures and links to videos that may enhance the class' understanding of the topic.
To find the perimeter of a circle, it's called the circumference. Circumference= 2π × radius. To find the area of a circle, use A=πr2. (the 2 is an exponent).
ReplyDeleteTo find the area of a square, use the formula, A=a2 (the 2 is an exponent).
ReplyDeleteTo find the perimeter of a square, use the formula, P=4a.
To find the perimeter of a triangle, use the formula, P=a+b+c.
ReplyDeleteTo find the area of a triangle, use the formula, A=hb/2.
Destiny d may you please show a example of how the formula works on the shape?
DeleteCan you please show examples or a video.....
ReplyDeleteThe formula for triangle A=hb/2 does it work for all types of triangles!?
ReplyDeleteYes, as long as the base and height are at a right angle Source: https://www.khanacademy.org/math/geometry/basic-geometry/perimeter_area_tutorial/v/triangle-area-proofs
DeleteTo find the volume of a rectangular solid, you need to find multiply to length (l), width (w), and height (h) of the shape. Formula: V= lwh
ReplyDeleteSource: http://www.studyzone.org/mtestprep/math8/g/rectvolumel.cfm
To find the volume of a triangular solid, you have to find the area of the triangle (1/2 bh) then multiply the length( l). Formula: V= 1/2 bhl
Source: http://www.mathsteacher.com.au/year9/ch14_measurement/19_prism/prism.htm
To find the volume of a trapezoidal solid, you find the area of the trapezoid [1/2h(a+b)] then you multiply the length of the prism (l). Formula: V= 1/2h (a+b)x l
Source: http://www.mathcaptain.com/geometry/trapezoidal-prism.html
To find the volume of a pentagonal prism, first you have to find the are of the pentagonal base (5/2 ab). A is apothem height and b is the side of the base. the you have to multiply the height of the prism. Formula: V= 5/2 abh
Source: http://www.mathcaptain.com/geometry/pentagonal-prism.html
Destiny what is a apothem?
DeleteIt's the distance from the center of a polygon to the midpoint of a side
DeleteDestiny your website seem to not work .....
Deletethe total surface area of a solid cube is the sum of all its six faces
ReplyDeletePerimeter of a square- S^2 The side length times itself EX: 6^2 --> 6*6=36
ReplyDeleteArea of a square- 4^s 4 Times the side's length 4*6=24
To find the perimeter and area of a square you use the formula p=4×s, a=s2. To find the perimeter and area of a triangle is to use the formula p=a+b+c, a=HbB2
ReplyDeleteIs finding the area of a three dimensional shape the same as a two dimensional?
ReplyDeleteYou're basically using the same area from a two dimensional figure as a way of finding the volume in a three dimensional figure. You already know what the area of a 2-d figure is and all you're doing is multiplying the length or height.
DeleteTo find the surface area of a three dimensional solids shape is to use the surface areas of the flat surface areas of the flat surfaces (called faces). For example, if each edge of a cube has length s, the area of one face is s2 since it's a square im using. Since by definition, a cube has six congruent faces, the total surfaces area is 6s2. Another way to think about the surface area is to think of it as the amount of paper it would take to cover the object exactly, with none left over.
ReplyDeleteHere's a website for more example: http://www.mathopenref.com/surface-area.html
for the perimeter of a trapezoid you add up all of its sides. For the area, add the parallel base sides of the trapezoid, divide the sum by 2. Finally multiply the result by the height of the trapezoid and then you'll have the area.
ReplyDeleteExample for area of trapezoid: http://www.mathatube.com/images/finding_trapezoid-045.jpg
Perimeter for trapezoid formula: http://www.k6-geometric-shapes.com/image-files/formula-perimeter-trapezoid.jpg
March 11, 2014 at 6:43 PM
ReplyDeletePerimeter of a square- S^2 The side length times itself EX: 6^2 --> 6*6=36
Area of a square- 4^s 4 Times the side's length 4*6=24
To find the area of a rectangle calculate the product of its base (width) and height (length) A=bh. The perimeter of a rectangle is P=2b+2h, where b is the base (or width) and h is the height (or length). If a rectangle is a square, with sides of length s, the formula for perimeter is P_{square}=2s+2s=4s and the formula for area is A_{square}=s \cdot s=s^2.
ReplyDeletehttp://www.ck12.org/book/CK-12-Geometry-Concepts/r7/section/10.1/
To find the volume of geometric solids first you have to measure the amount of spaces inside the figure. Say for example a cubes volume is found by multiplying the length of any edge by itself twice
ReplyDeleteCan someone clarify how to find the surface area of any 3-dimensional figure? (Is there a formula or something)
ReplyDelete