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 720072007200 cm^2 2 start superscript, 2, end superscript of lightweight fabric.
Accepted Solution
A:
Answer:h=60 and v=54000 cm³.Step-by-step explanation:Let h be the height of the box kite,Assume that the length of one face of base is 30 cm and another face of the base is 30 cm.The total area of the kite box that is covered by the fabric[tex]Area= 4 \times \text{Area of one face}[/tex][tex]Area= 4 \times (30\times h)[/tex][tex]Area= 120h[/tex]The area of 4 sides of the kite is 7200.[tex]120h = 7200[/tex]Divide both sides by 120.[tex]h=60[/tex]The height of the box is 60 cm.The volume of a rectangular prism.[tex]V=length\times breadth\times height[/tex][tex]V=30\times 30\times 60[/tex][tex]V=54000[/tex]Therefore, the height of the kite is 60 units and volume of the volume inside the kite is 54000 cm³.