Which volume could belong to a cube with a side length that is an integer? Recall the formula Cube volume = s cubed. 18 cubic inches 36 cubic inches 64 cubic inches 100 cubic inches

We have been given 4 choices. We are asked to choose the volume that could belong to a cube with a side length that is an integer.

We know that volume of a cube is cube of each side length.

To solve our given problem, we will take cube root of each given value. The cube root of which value will be an integer that will be our correct choice.

A.

Since cube root of 18 is not an integer, therefore, 18 is not a correct choice.

B.

Since cube root of 36 is not an integer, therefore, 36 is not a correct choice.

C.

Since cube root of 64 is 4 and 4 is an integer, therefore, 64 is the correct choice.

D.

Since cube root of 100 is not an integer, therefore, 100 is not a correct choice.

geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584

a

step-by-step explanation:

the answer is a