Question

a rectangular fish tank has a base that is 8 inches by 7 inches. how much water will it take to fill the tank to a depth of 5 inches? a 262 cubic inches b 779 cubic inches c 20 cubic inches d 280 cubic inches

Explanation:

Step1: Calculate base area

The base of the fish - tank is a rectangle. The area of a rectangle is $A = l\times w$. Given the base has dimensions 8 inches and 7 inches, so $A=8\times7 = 56$ square inches.

Step2: Calculate volume

The volume $V$ of a rectangular - prism (fish - tank) is $V=A\times h$, where $h$ is the height (depth). Here, $h = 5$ inches and $A = 56$ square inches. So $V=56\times5=280$ cubic inches.

Answer:

D. 280 cubic inches