Question

question
an aquarium can be modeled as a right rectangular prism. its dimensions are
19 in by 9 in by 6 in. how many cubic inches of water are in it when its a
quarter full? round your answer to the nearest tenth if necessary.
answer
attempt 2 out of 2
in 3
submit answer
this is the only question in this section.

Explanation:

Step1: Calculate the volume of the aquarium

The volume \(V\) of a rectangular prism is given by the formula \(V = l\times w\times h\), where \(l = 19\) in, \(w=9\) in, and \(h = 6\) in.

$$V=19\times9\times6$$

$$V = 19\times54$$

$$V=1026\space in^{3}$$

Step2: Find the volume when it's a quarter - full

If the aquarium is a quarter - full, then the volume of water \(V_{water}=\frac{1}{4}\times V\)

$$V_{water}=\frac{1}{4}\times1026$$

$$V_{water}= 256.5\space in^{3}$$

Answer:

\(256.5\)