Question

Syrus is buying a tent with the dimensions shown below. The volume inside the tent is 4.5\text{ m}^34.5 m 3 4, point, 5, start text, space, m, end text, cubed. Syrus isn't sure if the tent will be tall enough for him to stand inside.

Answer 1

2 meters

Explanation:

We can use the volume formula, V = 1/2 bhl

​

⋅1.5⋅h⋅3

=2.25h

=h

​

The height of the tent is 2 meters.

Hope this helps :)

Answer 2

2 meters

Explanation:

Given

`Volume = 4.5m^3`

The question is incomplete as the picture of the tent is not attached.

However, I will use the attached figure to answer the question.

From the attachment, we have:

`b = 1.5m` --- base of the tent

`l = 3m` --- length of the tent

Required

Determine the height of the tent

The volume of the tent is:

`(1)/(2) * bhl = Volume`

Where h is the required height.

So, we have:

`(1)/(2) * 1.5 * h * 3 = 4.5`

`(1)/(2) * 1.5 * 3 * h = 4.5`

`(1)/(2) * 4.5 * h = 4.5`

Make h the subject

`h = (4.5 * 2)/(4.5)`

`h = 2m`

The height of the tent is 2m