You are designing a large rectangular fish tank for your tropical fish. The length will be 1 yard 3 inches, the width will be 1.5 feet, and the height will be 20 inches. Part A Find the volume of the fish tank in cubic inches. The volume is cubic inches.

Step-by-step explanation:

GIVEN: You are designing a large rectangular fish tank for your tropical fish. The length will be , the width will be , and the height will be .

TO FIND: Find the volume of the fish tank in cubic inches.

SOLUTION:

We know that,

length of fish tank  

width of fish tank

height of fish tank

now, volume of fish tank

Hence the volume of fish tank is

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2