Answer: 76m
Step-by-step explanation:
First, start by splitting the figure into 2 smaller rectangular prisms; this can be done vertically or horizontally. I'll solve both ways so you can understand better.
Method 1: Splitting the figure into 2 rectangles vertically
The formula for volume or a rectangular prism is V = Bh. So, you start by finding the base of rectangular prism 1, which you can solve by multiplying the width (2m) by the length (4m) which is given in the figure. This gives you 8m which is the base. Now, if you look at the figure you can see that the height is 5m, so to find the volume of rectangular prism 1, you would multiply 8m (the base) by 5m (the height), and the answer is 40m.
Next, you would solve the same way to find the volume of rectangular prism 2. The given length is 4m and you can figure out the width by subtracting 5m - 2m which gives you 3m. Now you know your base which is 4m. To solve for the height you must again subtract 5m - 2m to get 3m. To find the volume, plug the values into the formula and multiply 4 X 3 X 3. The volume of rectangular prism 2 should come out to be 36m.
The last step is to add both of these volumes together. The volume of rectangular prism 1 + volume of rectangular prism 2 = Volume of the entire figure. The final volume is 40m + 36m = 76m.
Method 2: Splitting the figure into 2 rectangles horizontally
The formula for volume or a rectangular prism is V = Bh. So, you start by finding the base of rectangular prism 1, which you can solve by multiplying the length (2m) by the width (4m) which is given in the figure. This gives you 8m which is the base. Now, if you look at the figure you can see that the height is 2m, so to find the volume of rectangular prism 1, you would multiply 8m (the base) by 2m (the height), and the answer is 16m.
Next, you would solve the same way to find the volume of rectangular prism 2. The given length is 5m and the given width is 4m. Now you know your base which is 4m. To solve for the height you must subtract 5m - 2m to get 3m. To find the volume, plug the values into the formula and multiply 5 X 4 X 3. The volume of rectangular prism 2 should come out to be 60m.
The last step is to add both of these volumes together. The volume of rectangular prism 1 + volume of rectangular prism 2 = Volume of the entire figure. The final volume is 16m + 60m = 76m.
Hope this helps!