Respuesta :

Answer:

Step-by-step explanation:

6) Convert mixed fraction to improper fraction and then plugin the values in the formula.

[tex]l= 3\frac{1}{3} yard=\frac{10}{3}\\\\w = 1\frac{5}{9} yard=\frac{14}{9}\\\\h =2\frac{1}{4} yard=\frac{9}{4}\\\\Volume of wood shed = l * w *h\\\\= \frac{10}{3}*\frac{14}{9}*\frac{9}{4}\\\\= \frac{5}{3}*\frac{7}{1}*\frac{1}{1}\\\\=\frac{5*7}{3}\\\\=\frac{35}{3}\\\\=11\frac{2}{3} cubic yard[/tex]

b) 10 cubic yard is less than 11 2/3 cubic yard. So, it will fit in the wood shed.

7) Right side rectangular prism:

l = 16 in

w = 5 in

h =  20 - 14 = 6 in

Volume 1 = 16 * 5 * 6 = 480 cubic inches

Left side rectangular prism:

l = 9 in

w = 5 in

h =14 in

Volume 2 = 9 * 5 * 14 = 630 cubic in

Volume of composite solid = 480 + 630 = 1110 cubic inches