What are the dimensions of a cube with a volume of 64 mun¹?
a. 4 mm by 4 mm by 4 mm
b. 5 mm by 5 mm by 5 mm
c. 3 mm by 5 mm by 6 mm
d. 6 mm by 5 mm by 4 mm
To find the dimensions of a cube with a volume of 64 mun¹, we need to find the side length of the cube.
The volume of a cube is given by the formula V = s³, where s represents the side length of the cube.
Given that the volume is 64 mun¹, we can set up the equation as:
64 = s³
Taking the cube root of both sides gives us:
∛(64) = ∛(s³)
Simplifying the right side:
4 = s
Therefore, the side length of the cube is 4 mun¹.
Going through the answer choices:
a. 4 mm by 4 mm by 4 mm: The side length is 4 mm, not 4 mun¹. Incorrect.
b. 5 mm by 5 mm by 5 mm: The side length is 5 mm, not 4 mun¹. Incorrect.
c. 3 mm by 5 mm by 6 mm: The side lengths are 3 mm, 5 mm, and 6 mm, not 4 mun¹. Incorrect.
d. 6 mm by 5 mm by 4 mm: The side lengths are 6 mm, 5 mm, and 4 mm, not 4 mun¹. Incorrect.
Therefore, the correct answer is not among the given options.