The amount of balloons in the tent is 125.075 feet cube. From the given options, approximately, option D is correct
Solution:
Given, Rob is making a tent out of canvas in the shape of a square pyramid. Â Each side of the square base is 6 feet long, and the height is 6.3 feet. Â
Rob filled the tent with balloons, Â
We have to find which measurement BEST describes the amount of balloons in the tent? Â
As tent if filled with balloons the amount of balloons equals with volume of tent.
Volume of tent is given as:
[tex]\text { volume of tent }=a^{2}+2 a \sqrt{\frac{a^{2}}{4}+h^{2}}[/tex]
where "a" is side length and "h" is height.
[tex]\begin{array}{l}{\text { Then, Volume }=6.3^{2}+2(6.3) \sqrt{\frac{6.3^{2}}{4}+6^{2}}} \\\\ {=39.69+12.6 \sqrt{9.925+36}} \\\\ {=39.69+12.6 \times 6.7766=39.69+85.385} \\\\ {=125.075 \mathrm{ft}^{3}}\end{array}[/tex]
Hence, from the given options, approximately, option D is correct. Â
