A: tall rectangular prism
Dimensions: 8 x 2.5 x 10 in
Volume = 8 x 2.5 x 10 = 200 cubic inches
B: short rectangular prism
Dimensions: 2 x 5 x 8 in
Volume = 2 x 5 x 8 = 80 cubic inches
C: tall cylinder
Dimensions: radius = 1.75 in, height = 10 in
Volume = 1.75 x 1.75 x 3.14 x 10 = 96.625 cubic inches
D: short cylinder
Dimensions: radius = 1.75 in, height = 5 in
Volume = 1.75 x 1.75 x 3.14 x 5 = 48.313 cubic inches
7B Math: Efficiency Expert Portfolio
Directions:
You will mathematically and experimentally show how 4 figures made from the SAME size paper will produce different volumes.
Take 4 sheets of 8x10 in paper and create:
-A: tall rectangular prism
-B: short rectangular prism
-C: tall cylinder
-D: short cylinder
Mathematically you will figure the dimensions of your shapes just using your paper dimensions versus a ruler.
A: B: C: D:
Volume of Prism: l x w x h
Volume of Cylinder: r x r x 3.14 x h
So we will use our paper dimensions to find the shape measurements needed to find the volume of each one.
A and B….the prisms are easy. We just take the dimension and divide it by 4 to find our measurement.
C and D ….the cylinders are a bit more tricky. We know the circumference of our circle tops and the heights of our cylinders but we need to find the radius of our circle top.
Circumference = diameter x 3.14
11 = d x 3.14
Divide both sides by 3.14 to find the diameter
11/3.14 = d
3.5 = d but in finding the volume of the cylinder we need the radius.
d/2 = r 3.5/2 = 1.75 in
You will provide the volume of each shape A,B,C and D using 8x10 in paper. USE PROPER UNITS FOR VOLUME. The 4 volumes with units are ALL YOU HAVE to provide. No pictures needed.
1 answer