Question

an animal supply store sells different sizes of aquariums, crates and enclosures for a variety of animal sizes.

1. a customer shopping for a pet saw a rectangular prism - shaped aquarium. write 3 different dimensions that represent the volume of the small aquarium with.
2. determine the volume of the small aquarium if the sides.

show or explain your thinking.
answer:

1. a large crate has a volume of 24 cubic feet. what is the length of the crate in feet?

show or explain your thinking.

Explanation:

Step1: Recall volume formula for rectangular - prism

The volume formula for a rectangular - prism is $V = l\times w\times h$, where $l$ is length, $w$ is width and $h$ is height.

Step2: Solve for problem 2

For the aquarium with length $l = 30$ in, width $w = 15$ in and height $h = 10$ in (assuming a height value as it's not given in the visible part but for a standard 3 - D shape calculation), $V=30\times15\times10 = 4500$ cubic inches.

Step3: Solve for problem 3

Given $V = 24$ cubic feet, $w = 2$ feet and $h = 3$ feet. Using the formula $V=l\times w\times h$, we can solve for $l$. Rearranging the formula gives $l=\frac{V}{w\times h}$. Substitute $V = 24$, $w = 2$ and $h = 3$ into the formula: $l=\frac{24}{2\times3}=\frac{24}{6}=4$ feet.

Answer:

1. Volume of the aquarium is 4500 cubic inches.
2. Length of the crate is 4 feet.