Perfect Cubes/Cube Roots
Which numbers in this list are perfect cubes? 7, 8, 15, 27, 64, 70.
8, 27, 64
Write the formula for the volume of a cylinder and identify each variable.
V=Bh or V=(pi)r^2h
V = volume
B= area of the base (circle)
h= height
Write the formula for the volume of a cone and identify each variable.
V=1/3Bh
V = volume
B= area of the base (circle)
h= height
Write the formula for the volume of a sphere and identify each variable
V=4/3(pi)r^3
V= volume
r= radius
Identify whether 125, 216, and 300 are perfect cubes.
125 and 216
Find the side length of a cube whose volume is 343 cubic units.
7 units (since 7^3=343)
A soda can has a radius 3 cm and height 12 cm. Find its volume using 3.14
339.1 cm^3
Find the volume of a cone with radius 3 units and height 5 units using π=3.14.
47.1 units^3
In a full sentence, how can you find the volume of a hemisphere?
Ex. To find the volume of a hemisphere...
To find the volume of a hemisphere, find the volume of the full sphere and divide it by 2
A cube has volume 125 cubic units. Find the cube's side length.
5 units
A solid cube has volume 500 cubic units. Between which two consecutive integers does its side length fall?
between 7 and 8
( between cube root of 343 (7) and cube root of 512 (8).)
A cylindrical tank has diameter 10 m and height 6 m. Find its volume using π=3.14
471 m^3
A cone has diameter 10 units and height 12 units. Find its volume using π=3.14
314 units^3
A sphere has volume 288π cubic units. Find its radius.
6 units
A cylindrical water bottle has diameter 6 inches and height 9 inches. Using π=3.14, find its volume.
254.3 in ^3
List the perfect cubes from 1 to 1000.
1,8,27,64,125,216,343,512,729,1000
Find the volume of a cone with radius 6 cm and height 9 cm. Use π=3.14
339.1 cm^3
Solve for x if the volume of a cube is x^3=729
ex. x=?
x=9
In a full sentence, describe the relationship of a cone's volume to a cylinder's with the same height and radius.
Ex. A cone's volume is...
A cone's volume is one third of a cylinders with the same height and radius.
Find the radius of a sphere whose volume is 36π cubic units
3 units
You are given a volume of 512 cubic units. Is this a perfect cube? If so, what is the side length?
Yes.Side lengths are 8 units.