A fish tank 1 feet x 1 1/2 feet x 1/2 feet is carefully used to fill a large tank which has a capacity of 15 cubic feet. How many times will the contents of the smaller tank be rquired to be emptied into the larger tank to completely fill the tank?

a. 8
b. 10
c. 11
d. 20
e. more than 20

please answer and explain

1 * 1.5 * 0.5 = 0.75 cubic feet

15 / 0.75 = ?

answer d.20

thank you

You're welcome.

To find the number of times the contents of the smaller tank need to be emptied into the larger tank, we need to calculate the volume of the smaller tank and then divide the volume of the larger tank by the volume of the smaller tank.

The volume of a rectangular fish tank can be calculated by multiplying its length, width, and height.

For the smaller tank:
Length = 1 foot
Width = 1 1/2 feet, which can be written as 3/2 feet
Height = 1/2 foot, which can be written as 1/2 feet

Volume of the smaller tank = Length x Width x Height
= 1 foot x (3/2) feet x (1/2) foot
= 3/2 cubic feet

Now, we can calculate the number of times the contents of the smaller tank need to be emptied into the larger tank:

Number of times = Volume of larger tank / Volume of smaller tank
= 15 cubic feet / (3/2) cubic feet
= 15 cubic feet x (2/3) cubic feet (by multiplying both sides by the reciprocal of 3/2)
= 10 times

Therefore, the contents of the smaller tank need to be emptied into the larger tank 10 times to completely fill it.

So, the answer is b. 10.

Please note that it is always a good idea to simplify fractions whenever possible to avoid errors in calculations.