A rectangular prism aquarium holds 64 gallons of water. A similarly shaped aquarium holds 8 gallons of water. If a 1.5 ft2 cover fits on the smaller tank, what is the area of a cover that will fit on the larger tank

The area of a cover that will fit on the larger tank is 6 square inches

Step-by-step explanation:

step 1

Find the scale factor

we know that

If two figures are similar, then the ratio of its Volumes is equal to the scale factor cubed

Let

z ---> the scale factor

so

step 2

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

z ---> the scale factor

x ---> the area of a cover that will fit on the larger tank

y ---> the area of a cover that will fit on the smaller tank

so

we have

substitute the given values

solve for x

what are the things "represented below"?

step-by-step explanation:

nobody can if you dont give the choices