Question

1# What is the side length of a square with an area of 1/16 square units?

2# What is the volume of a cube with edge lengths of 2/3 units?

3# What is the edge length of a cube with a volume of 27/64 cubic units?

Answer 1

#1 1/4

#2. 8/27

#3 3/4

Explanation:

let the side of the square be y

Area of a square = y x y = y^2

y^2 = 1/16

y = sqrt (1/16)

y = 1/4

volume of a cube = edge length x edge length x edge length

Volume of a cube = 2/3 * 2/3 * 2/3

Volume of a cube = 8/27

volume of a cube = (edge length)^3

Edge length = cube root (volume of a cube)

Edge length = cube root (27/64)

Edge length = 3/4