Question

Mr. Erickson will be living in the forest

until we return to school.
His tent is 5 ft wide (at the base), 3 ft tall,
and has a length of 8 ft.
How much living space will he have
inside his tent?

Answer 1

`\huge{\boxed{60\ \text{ft}^(3)}}`

We will assume the tent is in the shape of a triangular prism.

The volume of a triangular prism can be found with the following formula, where
`b` is the width at the base,
`h` is the height, and
`l` is the length.

`V=(1)/(2)bhl`

Substitute in the known values.

`V=(1)/(2)*5*3*8`

Simplify — use multiplication.

`V=(5)/(2)*3*8`

`V=(15)/(2)*8`

`V=(120)/(2)`

Simplify — use division.

`V=\large{\boxed{60\ \text{ft}^(3)}}`

The volume — or in this case, the amount of living space — is
`60\ \text{cubic feet}`.