Question

Oliver is building a box kite. the frame of the kite has the dimensions shown. he covered the sides of the kite (but not the top and bottom) with \[7200\] cm \[^2\] of lightweight fabric. \[30\text{ cm}\] \[30\text{ cm}\] what is the volume inside the kite?

Answer 1

The volume inside the kite is 7200 cm^3.

Step-by-step explanation:

To find the volume inside the kite, we need to determine the height of the kite. We can do this by dividing the total area of the fabric by the area of one side of the kite.

The area of one side of the kite is equal to the length multiplied by the width, which is

30 cm × 30 cm = 900 cm^2.

Given that the total area of the fabric is 7200 cm^2, we can calculate the height of the kite as follows:

height = total area of fabric / area of one side of the kite

= 7200 cm^2 / 900 cm^2

= 8 cm

Now that we know the height of the kite, we can calculate the volume using the formula:

volume = length × width × height

Since the length and width are both 30 cm, and the height is 8 cm, we can substitute the values into the formula to find the volume:

volume = 30 cm × 30 cm × 8 cm

= 7200 cm^3

Therefore, the volume inside the kite is 7200 cm^3.