Because you know that both the rectangular prism and the rectangular prism have the same volume, you can divide 588 cm^3 by 12cm to find the area of the base and get 49 cm^2. The base of the rectangular prism is x^2 so to solve just find the square rootof 49 cm^2 to get the side lengths (7 cm).
Hope this helped
Answer:
Vol. of the composite figure is 189 m³
Step-by-step explanation:
Find the volume of the larger figure by mult. together its 3 dimensions:
V = (9 m)(8 m)(3 m) = 216 m³.
Next, find the volume of the "notch," which is (3 m)³, or 27 m³.
Finally, subtract the "notch" volume from the 216 m³ volume found earlier:
216 m³ - 27 m³ = 189 m³
X= 180
now you have to multiply all them with 180
5(180)= 900
2(180)= 360
You can see if they are similar by looking at the sides.
If each of the sides have the same proportion then they are similar.
24/3 = 8
32/4 = 8
112/14 = 8
Yes they are similar and their ratio is 1:8
Hope this helps :)