Answer:
1920 in³
Step-by-step explanation:
The volume of the water can be gotten by calculation the volume of the aquarium it fills/occupies.
Since the water fills to exactly three inches below the top of the aquarium, hence the height of the water in the aquarium is given as:
height of water = 13 in - 3 in = 10 in
Therefore the volume of the water in the tank is given by the formula:
Volume of water = height of water * breadth of tank * length of tank
Volume of water = 10 in * 8 in * 24 in = 1920 in³
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X=7 and y=4 are the correct equations
Answer:
5,256 - 4 = 5,252 = 52 x 101 or 101.0769230769231
Step-by-step explanation:
Answer:
<h2>L.A. = 384 cm²</h2><h2>S.A. = 640 cm²</h2>
Step-by-step explanation:
Lateral Area:
We have four congruent triangles with base b = 16cm and height h = 12cm.
The formula of an area of a traingle:
![A_\triangle=\dfrac{bh}{2}](https://tex.z-dn.net/?f=A_%5Ctriangle%3D%5Cdfrac%7Bbh%7D%7B2%7D)
Substitute:
![A_\triangle=\dfrac{(16)(12)}{2}=(8)(12)=96\ cm^2](https://tex.z-dn.net/?f=A_%5Ctriangle%3D%5Cdfrac%7B%2816%29%2812%29%7D%7B2%7D%3D%288%29%2812%29%3D96%5C%20cm%5E2)
![L.A.=4A_\triangle=4(96)=384\ cm^2](https://tex.z-dn.net/?f=L.A.%3D4A_%5Ctriangle%3D4%2896%29%3D384%5C%20cm%5E2)
Surface Area:
![S.A.=B+L.A.](https://tex.z-dn.net/?f=S.A.%3DB%2BL.A.)
In the base we have the square with side s = 16cm. The formula of an area of a square:
![A_\square=s^2](https://tex.z-dn.net/?f=A_%5Csquare%3Ds%5E2)
Substitute:
![B=16^2=256\ cm^2](https://tex.z-dn.net/?f=B%3D16%5E2%3D256%5C%20cm%5E2)
![S.A.=256\ cm^2+384\ cm^2=640\ cm^2](https://tex.z-dn.net/?f=S.A.%3D256%5C%20cm%5E2%2B384%5C%20cm%5E2%3D640%5C%20cm%5E2)