Answer:
C. 1,120 cubic inches
Step-by-step explanation:
To find the total volume, we will divide the solid as follows:
The edge with a length equal to 10 in was calculated as:
18 in - 8 in = 10 in
Because 18 in is the length of the largest height of the figure and 8 in is the length of the smaller height.
Now, the volume of a rectangular prism can be calculated as:
Volume = Length x Width x Height
So, the volume of solid 1 is equal to:
V₁ = 12 in x 4 in x 10 in
V₁ = 480 in³
In the same way, the volume of solid 2 is equal to:
V₂ = 20 in x 4 in x 8 in
V₂ = 640 in³
Therefore, the total volume of the solid is the sum of both parts. Then:
V₁ + V₂ = 480 in³ + 640 in³
V₁ + V₂ = 1120 in³
So, the answer is C. 1,120 cubic inches