Find the volume of the part of the vessel under water
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I am struggling to find the volume of the part of the vessel that is partially under water in the third figure (the one where the elephant is on top). Is there anything missing from the given parameters? If not, how can I find the volume of that part? I can compute the volume of a triangular prism, but, as you can see, there is a small portion where I can't think of a way to find the height of it.
volume
asked Dec 5 '18 at 1:28
snitchbensnitchben
729
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add a comment |
$begingroup$
I am struggling to find the volume of the part of the vessel that is partially under water in the third figure (the one where the elephant is on top). Is there anything missing from the given parameters? If not, how can I find the volume of that part? I can compute the volume of a triangular prism, but, as you can see, there is a small portion where I can't think of a way to find the height of it.
volume
asked Dec 5 '18 at 1:28
snitchbensnitchben
729
$endgroup$
$begingroup$
Which portion can't you find the height of?
$endgroup$
– David K
Dec 5 '18 at 1:46
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I need the height of the triangle (third figure). Then, the volume of the part under water would be equal to the volume of the triangular prism plus the volume of the rectangle.
$endgroup$
– snitchben
Dec 5 '18 at 1:50
$begingroup$
A 30-degree right triangle, the length of the other leg is known ... Somehow you got the base of the smaller prism in the "before" figure, which is a similar problem to solve.
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– David K
Dec 5 '18 at 2:16
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Could you please be more clear?
$endgroup$
– snitchben
Dec 5 '18 at 2:19
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The dotted line divides the bottom triangle into two 30-degree right triangles. It also divides the 5-meter base of the triangle in half.
$endgroup$
– David K
Dec 5 '18 at 2:40
add a comment |
$begingroup$
I am struggling to find the volume of the part of the vessel that is partially under water in the third figure (the one where the elephant is on top). Is there anything missing from the given parameters? If not, how can I find the volume of that part? I can compute the volume of a triangular prism, but, as you can see, there is a small portion where I can't think of a way to find the height of it.
volume
asked Dec 5 '18 at 1:28
snitchbensnitchben
729
$endgroup$
I am struggling to find the volume of the part of the vessel that is partially under water in the third figure (the one where the elephant is on top). Is there anything missing from the given parameters? If not, how can I find the volume of that part? I can compute the volume of a triangular prism, but, as you can see, there is a small portion where I can't think of a way to find the height of it.
volume
volume
asked Dec 5 '18 at 1:28
snitchbensnitchben
729
asked Dec 5 '18 at 1:28
snitchbensnitchben
729
edited Dec 5 '18 at 1:34
snitchben
asked Dec 5 '18 at 1:28
snitchbensnitchben
729
asked Dec 5 '18 at 1:28
snitchbensnitchben
729
asked Dec 5 '18 at 1:28
snitchbensnitchben
729
729
$begingroup$
Which portion can't you find the height of?
$endgroup$
– David K
Dec 5 '18 at 1:46
$begingroup$
I need the height of the triangle (third figure). Then, the volume of the part under water would be equal to the volume of the triangular prism plus the volume of the rectangle.
$endgroup$
– snitchben
Dec 5 '18 at 1:50
$begingroup$
A 30-degree right triangle, the length of the other leg is known ... Somehow you got the base of the smaller prism in the "before" figure, which is a similar problem to solve.
$endgroup$
– David K
Dec 5 '18 at 2:16
$begingroup$
Could you please be more clear?
$endgroup$
– snitchben
Dec 5 '18 at 2:19
$begingroup$
The dotted line divides the bottom triangle into two 30-degree right triangles. It also divides the 5-meter base of the triangle in half.
$endgroup$
– David K
Dec 5 '18 at 2:40
add a comment |
$begingroup$
Which portion can't you find the height of?
$endgroup$
– David K
Dec 5 '18 at 1:46
$begingroup$
I need the height of the triangle (third figure). Then, the volume of the part under water would be equal to the volume of the triangular prism plus the volume of the rectangle.
$endgroup$
– snitchben
Dec 5 '18 at 1:50
$begingroup$
A 30-degree right triangle, the length of the other leg is known ... Somehow you got the base of the smaller prism in the "before" figure, which is a similar problem to solve.
$endgroup$
– David K
Dec 5 '18 at 2:16
$begingroup$
Could you please be more clear?
$endgroup$
– snitchben
Dec 5 '18 at 2:19
$begingroup$
The dotted line divides the bottom triangle into two 30-degree right triangles. It also divides the 5-meter base of the triangle in half.
$endgroup$
– David K
Dec 5 '18 at 2:40
$begingroup$
Which portion can't you find the height of?
$endgroup$
– David K
Dec 5 '18 at 1:46
$begingroup$
Which portion can't you find the height of?
$endgroup$
– David K
Dec 5 '18 at 1:46
$begingroup$
I need the height of the triangle (third figure). Then, the volume of the part under water would be equal to the volume of the triangular prism plus the volume of the rectangle.
$endgroup$
– snitchben
Dec 5 '18 at 1:50
$begingroup$
I need the height of the triangle (third figure). Then, the volume of the part under water would be equal to the volume of the triangular prism plus the volume of the rectangle.
$endgroup$
– snitchben
Dec 5 '18 at 1:50
$begingroup$
A 30-degree right triangle, the length of the other leg is known ... Somehow you got the base of the smaller prism in the "before" figure, which is a similar problem to solve.
$endgroup$
– David K
Dec 5 '18 at 2:16
$begingroup$
A 30-degree right triangle, the length of the other leg is known ... Somehow you got the base of the smaller prism in the "before" figure, which is a similar problem to solve.
$endgroup$
– David K
Dec 5 '18 at 2:16
$begingroup$
Could you please be more clear?
$endgroup$
– snitchben
Dec 5 '18 at 2:19
$begingroup$
Could you please be more clear?
$endgroup$
– snitchben
Dec 5 '18 at 2:19
$begingroup$
The dotted line divides the bottom triangle into two 30-degree right triangles. It also divides the 5-meter base of the triangle in half.
$endgroup$
– David K
Dec 5 '18 at 2:40
$begingroup$
The dotted line divides the bottom triangle into two 30-degree right triangles. It also divides the 5-meter base of the triangle in half.
$endgroup$
– David K
Dec 5 '18 at 2:40
add a comment |
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$begingroup$
Which portion can't you find the height of?
$endgroup$
– David K
Dec 5 '18 at 1:46
$begingroup$
I need the height of the triangle (third figure). Then, the volume of the part under water would be equal to the volume of the triangular prism plus the volume of the rectangle.
$endgroup$
– snitchben
Dec 5 '18 at 1:50
$begingroup$
A 30-degree right triangle, the length of the other leg is known ... Somehow you got the base of the smaller prism in the "before" figure, which is a similar problem to solve.
$endgroup$
– David K
Dec 5 '18 at 2:16
$begingroup$
Could you please be more clear?
$endgroup$
– snitchben
Dec 5 '18 at 2:19
$begingroup$
The dotted line divides the bottom triangle into two 30-degree right triangles. It also divides the 5-meter base of the triangle in half.
$endgroup$
– David K
Dec 5 '18 at 2:40