The volume of the assumed rectangular prism-shaped coffin, with dimensions 9 feet in length, 3 feet in width, and 3 feet in height, is calculated as 81 cubic feet by multiplying these dimensions together.
To calculate the volume of the coffin, which is assumed to be a rectangular prism with dimensions 3 feet by 3 feet by 9 feet:
Given dimensions:
Length = 9 feet
Width = 3 feet
Height = 3 feet
The formula for the volume of a rectangular prism is:
![\[ \text{Volume} = \text{length} * \text{width} * \text{height} \]](https://img.qammunity.org/2024/formulas/mathematics/high-school/vyrlfefbp1cqslucdq39zew8p75cfivo56.png)
Substitute the given values into the formula:
![\[ \text{Volume} = 9 \text{ feet} * 3 \text{ feet} * 3 \text{ feet} \]](https://img.qammunity.org/2024/formulas/mathematics/high-school/j5xecw4kcxq3n70exw1um2ymh91x8r0xef.png)
perform the multiplication:
![\[ \text{Volume} = 27 \text{ cubic feet} * 9 \text{ feet} \]](https://img.qammunity.org/2024/formulas/mathematics/high-school/pr72w6ws35459pknr612elxfk6gefdcad4.png)
![\[ \text{Volume} = 81 \text{ cubic feet} \]](https://img.qammunity.org/2024/formulas/mathematics/high-school/ibc2m2j7rsnfyeyyh8dntcrbucrcv6ci4m.png)
Therefore, the volume of the coffin, assuming it's a rectangular prism with dimensions 3 feet by 3 feet by 9 feet, is
cubic feet.