Question

ach of the composite figures. 6. 8.

Explanation:

Step1: Find dimensions of smaller box

The smaller box has length $l_1 = 14 - 6=8$ in, width $w_1 = 5$ in and height $h_1 = 8$ in.

Step2: Find volume of smaller box

The volume formula for a rectangular - prism is $V = l\times w\times h$. So, $V_1=l_1\times w_1\times h_1=8\times5\times8 = 320$ in³.

Step3: Find volume of larger box

The larger box has length $l_2 = 12$ in, width $w_2 = 6$ in and height $h_2 = 8$ in. Using the volume formula $V = l\times w\times h$, we get $V_2=l_2\times w_2\times h_2=12\times6\times8 = 576$ in³.

Step4: Find volume of composite figure

The volume of the composite figure $V = V_1+V_2=320 + 576=896$ in³.

Answer:

896 in³