paje614 circles link Other notable pages on SA and Vol andmad

Surface Area and Volume


finding the surface and volume for a rectangle.
[length L, width w, and height h]
SA=2Lw+2wh+2Lh or V=Lwh
To find the surface area or a cube.
us this formula
S=6s squared or V=s cubed


external image 419120318_23a2d4f1c0.jpg?v=0
external image 419120318_23a2d4f1c0.jpg?v=0

Try and find the surface area of the 3by3 cube

Now try to find the volume of the cube
Answers

need help with finding the surface area or volume or a cube?

Surface area and volume of prisms

external image 201242061_e5156c5f72_m.jpg
external image 201242061_e5156c5f72_m.jpg


Finding the surface area of a right prism
The surface area, SA, of a right prism with lateral area L, base B, perimeter p, and height h.
SA=L+2B or SA=hp+2B

Finding the volume of a prism use this formula
V=Bh
base times height.

Try and find the suface area and volume of a rectangular prism with these dementions below:

8inches by 4inches by 2inches
[dont forget the units]
Check your answer here....
Triangular
external image 358659522_728731cac0_m.jpg
external image 358659522_728731cac0_m.jpg

Rectangular prism
external image 34567537_a012d9b692_m.jpg
external image 34567537_a012d9b692_m.jpg

Pentagonal
external image 154366227_38b5fa62ea_m.jpg
external image 154366227_38b5fa62ea_m.jpg

Hexagonal prism


external image 370683621_ca45586434_m.jpg
external image 370683621_ca45586434_m.jpg


A fun game to learn how to find surface area of a rectangular prism
Other games to help with finding the volume of a..
Rectangular prism
Triangular prism

Surface area and volume of pyramids



surface area of a regular pyramid
use this formula
surface area SA, of a regular pyramid with lateral area L, base area B, perimeter of the base p, and the slant height l
SA=L+B or SA=1/2 l*p+B

Finding the volume of a pyramid
use this formula
V= 1/3 Bh

Pyramids


Triangular prism
moz-screenshot-13.jpg
moz-screenshot-13.jpg

external image 146157572_2bc51b3f19_m.jpg
external image 146157572_2bc51b3f19_m.jpg
external image 122415340_6196ac3372_m.jpg
external image 122415340_6196ac3372_m.jpg

Rectangular
external image 317727193_80eea34d95_m.jpg
external image 317727193_80eea34d95_m.jpg


Practive problems for the volume of a pyramid go here

Surface area and volume of cylinders

external image 105674150_3a2de39d30_m.jpg
external image 105674150_3a2de39d30_m.jpg
=3.14

Surface area SA, or Volume V, of a right Cylinder with lateral area L, base area B, radius r, and height h

To find SA use this formula
SA=L+2B or S= 2(pi)rh+2(pi)r^2

To find the volume us this formula
V=Bh or V=(pi)r^2h

The bases of the cylinder are the flat surfaces of the top and bottom.
external image 415298808_b6f2e06645_m.jpg
external image 415298808_b6f2e06645_m.jpg
external image 29119006_8d4394a7dc_m.jpg
external image 29119006_8d4394a7dc_m.jpg


fun games to help find surface area of a cylinder
fun games to help find volume of a cylinder

Surface area and volume of cones


external image 267084724_2006895cf2_m.jpg
external image 267084724_2006895cf2_m.jpg

To find the surface area SA, or the volume V,
you need the lateral area L, the base B, the radius r, and the slant height l.

To find the surface area use this formula
SA=L+B or S=(pi)rl+(pi)r^2

To find the volume of a cone use this formula
V=1/3Bh or V=1/3(pi)r^2h

Problems for finding the volume of a come go here

Surface area and volume of spheres


external image 362463585_b6cebc9260_m.jpg
external image 362463585_b6cebc9260_m.jpg


To find the surface area As, or the Volume V, you need to know the radius r

To find surface area use this formula
SA=4(pi)r^2

To find the volume use this formula
V=4/3(pi)r^3


external image 245504098_0ea34c7d42_m.jpg
external image 245504098_0ea34c7d42_m.jpg


For more help with finding the volume go here
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