7. An aquarium is shown below. The
1 answer:
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
You might be interested in
Answer:
Area(A)=Area(C)=
Area(B)=
Step-by-step explanation:
We begin with finding the angles a and b that from the drawing attached you can see that a=b.
Now, the sum of the internal angles of a rhomboid is equal to 360 degrees, with that we have:
120+120+a+b=360
240+2a=360
2a=120
a=60=b
Next, in the image you can see that the lines coming from the angle at the top 120 degrees vertex, divide the opposite sides by half, thus making two triangles with one side of 6 in and another of 3 in.
We can say from the drawing as well:
Area(A)+Area(B)+Area(C)=Area(rhomboid)
But, we can also say that Area(A)=Area(C)
So, starting with Area(A)
Area(A)=Area(triangle)==
=
We can then calculate the area B, a rhomboid, or better, take the Total area of the figure and subtract the area of the two triangles.
Area(B)=Area(rhomboid)-Area(A)-Area(C)
Area(rhomboid)=b*h where b=6in and h is the perpendicular distance from the base to the top.
The 30 degrees come from: 120-30-60=30, since the latitudes split the 120 angle in two equal parts and one that is the half of the obtuse angle.
Area(rhomboid)=5.20*6=
Area(B)=Area(rhomboid)-Area(A)-Area(C)=-
-
=
