An aquarium is in the shape of a cube. the aquarium can hold between 4096 cubic inches and 8000 cubic inches of water. what are the possible side lengths of the aquarium?

choices :
12 inches
14 inches
15 inches
16 inches
18 inches
20 inches

-2/

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.