Question

Syrus is buying a tent with the dimensions shown below. The volume inside the tent is 36 feet^3 cubed. Syrus isn't sure if the tent will be tall enough for him to sit up inside. What is the height of the tent?

Answer 1

The dimensions of the tent is in the attachment.

Answer: Height = 4.5 ft

Step-by-step explanation: The image in the attachment shows a rectangular piramid, which means that the base of the piramid is a rectangle with sides 4 ft and 6 ft for width and length, respectively.

The volume of a rectangular piramid is given by the formula:

V =
`(1)/(3)`.w.l.h

36 =
`(1)/(3)`.4.6.h

h =
`(36.3)/(4.6)`

h = 4.5

The height of the given tent is 4.5 feet.