Rectangular tank has a height of 18 cm. The area of the base is 225 square cm. What is the volume?
1 answer:
Volume is found by multiplying the length, width, and height as follows:
However they have already told us in the question that the area of the base is
. This was found by multiplying the length and the width, which means that they have done this for us already! Now we need to take the height and multiply is by to get the total volume of the tank. Let's do that now:
So now we know that the total volume of the tank is
.
However they have already told us in the question that the area of the base is
So now we know that the total volume of the tank is
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Because it is extremely hard to find the area of this figure all together, it would be in our best interest to split this figure up into three different pieces: the two horizontal rectangles, and the verticle rectangle. We can find the area of all three and add them up. Be aware that there are two different ways that you can break this figure up, As shown in the attachments. I will be using the first image (the one with the tall horizontal rectangles, NOT the almost-squares).
So, we see that we have enough information to solve for the area of the left-most rectangle. Area = lw. 10 x 4 = 40, so the area is 40. Next, we have to notice, that the horizontal rectangles are also the same, so both of the areas of the two horizontal rectangles are 40.
Now, we can find the middle rectangle. We know that the length of the entire thing is 18, but it is taken up by 8 (4+4) of the horizontal triangles, so 18-8=10, so the length Is 10. We also know that the height of the horizontal rectangles is 10, so 10-3=7. Our dimensions for the rectangle are 10x7 or 70 square units. If we add them all together, 40+40+70=150.
The area is 150 square units
