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

Answer:

2 meters

Step-by-step 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:

$\frac{1}{2} * bhl = Volume$

Where h is the required height.

So, we have:

$\frac{1}{2} * 1.5 * h * 3 = 4.5$

$\frac{1}{2} * 1.5 * 3 * h = 4.5$

$\frac{1}{2} * 4.5 * h = 4.5$

Make h the subject

$h = \frac{4.5 * 2}{4.5}$

$h = 2m$

The height of the tent is 2m

Answer 2

Answer:

2 meters

Step-by-step 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 :)