Question

what is the volume of this figure? 1 in. 5 in. 2 in. 3 in. 2 in. 8 in. cubic inches submit work it out not feeling ready yet? these can help

Explanation:

Step1: Calculate volume of top - box

The volume formula for a rectangular prism is $V = l\times w\times h$. For the top - box with $l = 5$ in, $w = 1$ in and $h = 2$ in, we have $V_1=5\times1\times2 = 10$ in³.

Step2: Calculate volume of bottom - box

For the bottom - box with $l = 8$ in, $w = 2$ in and $h = 3$ in, using the volume formula $V = l\times w\times h$, we get $V_2=8\times2\times3=48$ in³.

Step3: Calculate total volume

The total volume $V$ of the figure is the sum of the volumes of the two boxes, so $V = V_1 + V_2=10 + 48=58$ in³.

Answer:

58