Question

a fish tank in the shape of a rectangular prism has these dimensions:

• length = 20 inches
• width = 10 inches
• height = 12 inches

what is the volume of water in the tank when it is \\(\frac{4}{5}\\) full?
a 1,120 cu in.
b 1,920 cu in.
c 2,400 cu in.
d 3,000 cu in.

Explanation:

Step1: Calculate full volume

The volume \( V \) of a rectangular prism is \( V = l \times w \times h \). Substituting \( l = 20 \), \( w = 10 \), \( h = 12 \):
\( V = 20 \times 10 \times 12 = 2400 \) cubic inches.

Step2: Find \( \frac{4}{5} \) of full volume

Multiply the full volume by \( \frac{4}{5} \):
\( \frac{4}{5} \times 2400 = 4 \times 480 = 1920 \) cubic inches.

Answer:

B. 1,920 cu in.