146k views
4 votes
The volume of a cube is 125 cm^3. The area of a square is 64 cm^2. How does the lenghth of one edge of the cube compare to the length of one side of the square? Explain. ​

The volume of a cube is 125 cm^3. The area of a square is 64 cm^2. How does the lenghth-example-1
User Twilbrand
by
9.3k points

1 Answer

4 votes

Answer:

One edge of the cube is 5 cm, one edge of the square is 8 cm, so the edge of the cube is 3 cm shorter than the edge of the square.

Explanation:

The volume of the cube is found by the formula

V = s³,

where s is the side length (called the edge in this problem)

Since V = 125 cm³, we can take the cube root of 125 to find the edge length.

The cube root of 125 is 5, ( 5³ = 125)

So the edge of the cube is 5 cm

The are of a square is found by the formula

A = s² ,

where s is the side length (called the edge in this problem)

Since A = 64 cm², we can take the square root of 64 to find the edge length.

The square root of 64 is 8 (8² = 84)

So the edge of the square is 8cm

Comparing the two edges tells us that the edge of the cube is 3cm shorter than the edge of the square.

User Eloy Ruiz
by
8.4k points