Answer:
390cm³
Step-by-step explanation:
IF you look at the figure attached, you will see that your figure is made up of 3 rectangular prisms.
All you need to do is solve for the volume of each prism and add them up together.
The formula to use to get the volume of a rectangular prism is:
[tex]V=whl[/tex]
Where:
V = Volume
w = width
l = length
h = height
Let's get the first one and double it because you have rectangular prisms with the same dimensions:
[tex]V = wlh\\\\V= (5cm)(2cm)(12cm) = 120cm^3\\\\120cm^3 \times 2=240cm^3[/tex]
Next we get the rectangular prism in the middle:
Notice that the height of the side rectangular prisms is 12 cm. To get the height of the middle figure, just subtract 5cm and 2 cm from the height because they are the excess of the middle.
12cm - (5cm + 2cm)
12 cm - 7cm = 5cm
Then we plug it into the formula
[tex]V = wlh\\\\V= (5cm)(6cm)(5cm) = 150cm^3[/tex]
Now that we have the volumes of all figures, just add them up together:
150cm³ + 240cm³ = 390cm³
