Question

Camilla Wante pour all her cat's food into a container. She has 400 cubic inches of cat food. Which container will NOT fit all her cat food in it based on the given dimensions?

Answer 1

To confirm the container that will not fit all the food, we will find the volume of each individual container.

Note that the container that will not fit all her cat food will have a volume of less than 400 cubic inches.

The volume of the container is given by

`V=l* b* h`

OPTION A: 12 in. x 12 in. x 3 in.

We calculate the volume as

`\begin{gathered} V=12*12*3 \\ V=432 \end{gathered}`

The volume is 432 cubic inches.

Therefore, this container WILL CONTAIN the cat food.

OPTION B: 10 in. x 9 in. x 5 in.

We calculate the volume as

`\begin{gathered} V=10*9*5 \\ V=450 \end{gathered}`

The volume is 450 cubic inches.

Therefore, this container WILL CONTAIN the cat food.

OPTION C: 6 in. x 5 in. x 9 in.

We calculate the volume as

`\begin{gathered} V=6*5*9 \\ V=270 \end{gathered}`

The volume is 270 cubic inches.

Therefore, this container WILL NOT CONTAIN the cat food.

OPTION D: 9 in. x 14 in. x 4 in.

We calculate the volume as

`\begin{gathered} V=9*14*4 \\ V=504 \end{gathered}`

The volume is 504 cubic inches.

Therefore, this container WILL CONTAIN the cat food.

Hence, only the 3rd container will not contain the cat food.

CORRECT OPTION: OPTION C