Question

gabriela builds a rectangular prism that has a volume of 36 cubic units. each rectangular prism below is built with unit cubes. which rectangular prisms could be gabrielas prism? choose all the correct answers.

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. Given $V = 36$ cubic - units. We need to find combinations of non - negative integers for $l$, $w$ and $h$ such that $l\times w\times h=36$.

Step2: Find factor combinations of 36

The factor pairs of 36 are: $1\times1\times36$, $1\times2\times18$, $1\times3\times12$, $1\times4\times9$, $1\times6\times6$, $2\times2\times9$, $2\times3\times6$, $3\times3\times4$.

Step3: Analyze the given prisms

We need to count the number of unit cubes in each dimension of the given rectangular prisms. If the product of the number of unit cubes in the length, width and height directions is 36, then it could be Gabriela's prism.

Answer:

We would need to count the number of unit cubes in the length, width and height of each of the given rectangular prisms in the image. Without the ability to actually count the unit - cubes in the provided image (since we can't see the dimensions clearly in text - based format), we can't give a definite list of correct answers. But the general approach is to check if the product of the number of unit cubes in length, width and height of each prism is 36.