The volume of a large aquarium is 90 ft cubed . It is 2 2/5 wide and 3 1/3 high . What is the length of the aquarium?

The right answer is: 14,256 cubic inches

Step-by-step explanation:

First of all, let's identify the dimensions of the tank and convert them to inches

Knowing that  1 Feet = 12 inches

So, the dimensions of the tank, expressed in inches will be:

Height (H): 2 ft. x 12 = 24 inches

Width (W): 1.50 ft. x 12 = 18 inches

Length (L): 3 ft. x 12 = 36 inches

Before calculating the volume of water inside the thank, We must consider that there are two inches of empty space at the top.

So , We must subtract 2 inches to the height to calculate the volume

Then, the height used for calculating the volume will be:

H'= 24 inches - 2 inches = 22 inches

Then,

Volume (V)= W x L x H'

V= (18 inches) x (36 inches) x (22 inches)

V= 14,256 cubic inches

65

step-by-step explanation:

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it