How to find the length of an edge of a tetrahedron - ISEE Upper Level Quantitative Reasoning
Card 1 of 12
A triangular pyramid, or tetrahedron, with volume 100 has four vertices with Cartesian coordinates
where 
.
Evaluate 
.
A triangular pyramid, or tetrahedron, with volume 100 has four vertices with Cartesian coordinates
where
Evaluate
Tap to reveal answer
The tetrahedron is as follows (figure not to scale):
This is a triangular pyramid with a right triangle with legs 10 and 
as its base; the area of the base is
The height of the pyramid is 5, so
Set this equal to 100 to get 
:
The tetrahedron is as follows (figure not to scale):
This is a triangular pyramid with a right triangle with legs 10 and
The height of the pyramid is 5, so
Set this equal to 100 to get
← Didn't Know|Knew It →
A triangular pyramid, or tetrahedron, with volume 240 has four vertices with Cartesian coordinates
where 
.
Evaluate 
.
A triangular pyramid, or tetrahedron, with volume 240 has four vertices with Cartesian coordinates
where
Evaluate
Tap to reveal answer
The tetrahedron is as follows (figure not to scale):
This is a triangular pyramid with a right triangle with two legs of measure 
as its base; the area of the base is
The height of the pyramid is 24, so the volume is
Set this equal to 240 to get 
:
The tetrahedron is as follows (figure not to scale):
This is a triangular pyramid with a right triangle with two legs of measure
The height of the pyramid is 24, so the volume is
Set this equal to 240 to get
← Didn't Know|Knew It →
A triangular pyramid, or tetrahedron, with volume 1,000 has four vertices with Cartesian coordinates
where 
.
Evaluate 
.
A triangular pyramid, or tetrahedron, with volume 1,000 has four vertices with Cartesian coordinates
where
Evaluate
Tap to reveal answer
The tetrahedron is as follows:
This is a triangular pyramid with a right triangle with two legs of measure as its base; the area of the base is
Since the height of the pyramid is also 
, the volume is
.
Set this equal to 1,000:
The tetrahedron is as follows:
This is a triangular pyramid with a right triangle with two legs of measure
Since the height of the pyramid is also
Set this equal to 1,000:
← Didn't Know|Knew It →
A triangular pyramid, or tetrahedron, with volume 100 has four vertices with Cartesian coordinates
where .
Evaluate .
A triangular pyramid, or tetrahedron, with volume 100 has four vertices with Cartesian coordinates
where
Evaluate
Tap to reveal answer
The tetrahedron is as follows (figure not to scale):
This is a triangular pyramid with a right triangle with legs 10 and as its base; the area of the base is
The height of the pyramid is 5, so
Set this equal to 100 to get :
The tetrahedron is as follows (figure not to scale):
This is a triangular pyramid with a right triangle with legs 10 and
The height of the pyramid is 5, so
Set this equal to 100 to get
← Didn't Know|Knew It →
A triangular pyramid, or tetrahedron, with volume 240 has four vertices with Cartesian coordinates
where .
Evaluate .
A triangular pyramid, or tetrahedron, with volume 240 has four vertices with Cartesian coordinates
where
Evaluate
Tap to reveal answer
The tetrahedron is as follows (figure not to scale):
This is a triangular pyramid with a right triangle with two legs of measure as its base; the area of the base is
The height of the pyramid is 24, so the volume is
Set this equal to 240 to get :
The tetrahedron is as follows (figure not to scale):
This is a triangular pyramid with a right triangle with two legs of measure
The height of the pyramid is 24, so the volume is
Set this equal to 240 to get
← Didn't Know|Knew It →
A triangular pyramid, or tetrahedron, with volume 1,000 has four vertices with Cartesian coordinates
where .
Evaluate .
A triangular pyramid, or tetrahedron, with volume 1,000 has four vertices with Cartesian coordinates
where
Evaluate
Tap to reveal answer
The tetrahedron is as follows:
This is a triangular pyramid with a right triangle with two legs of measure as its base; the area of the base is
Since the height of the pyramid is also , the volume is
.
Set this equal to 1,000:
The tetrahedron is as follows:
This is a triangular pyramid with a right triangle with two legs of measure
Since the height of the pyramid is also
Set this equal to 1,000:
← Didn't Know|Knew It →
A triangular pyramid, or tetrahedron, with volume 100 has four vertices with Cartesian coordinates
where .
Evaluate .
A triangular pyramid, or tetrahedron, with volume 100 has four vertices with Cartesian coordinates
where
Evaluate
Tap to reveal answer
The tetrahedron is as follows (figure not to scale):
This is a triangular pyramid with a right triangle with legs 10 and as its base; the area of the base is
The height of the pyramid is 5, so
Set this equal to 100 to get :
The tetrahedron is as follows (figure not to scale):
This is a triangular pyramid with a right triangle with legs 10 and
The height of the pyramid is 5, so
Set this equal to 100 to get
← Didn't Know|Knew It →
A triangular pyramid, or tetrahedron, with volume 240 has four vertices with Cartesian coordinates
where .
Evaluate .
A triangular pyramid, or tetrahedron, with volume 240 has four vertices with Cartesian coordinates
where
Evaluate
Tap to reveal answer
The tetrahedron is as follows (figure not to scale):
This is a triangular pyramid with a right triangle with two legs of measure as its base; the area of the base is
The height of the pyramid is 24, so the volume is
Set this equal to 240 to get :
The tetrahedron is as follows (figure not to scale):
This is a triangular pyramid with a right triangle with two legs of measure
The height of the pyramid is 24, so the volume is
Set this equal to 240 to get
← Didn't Know|Knew It →
A triangular pyramid, or tetrahedron, with volume 1,000 has four vertices with Cartesian coordinates
where .
Evaluate .
A triangular pyramid, or tetrahedron, with volume 1,000 has four vertices with Cartesian coordinates
where
Evaluate
Tap to reveal answer
The tetrahedron is as follows:
This is a triangular pyramid with a right triangle with two legs of measure as its base; the area of the base is
Since the height of the pyramid is also , the volume is
.
Set this equal to 1,000:
The tetrahedron is as follows:
This is a triangular pyramid with a right triangle with two legs of measure
Since the height of the pyramid is also
Set this equal to 1,000:
← Didn't Know|Knew It →
A triangular pyramid, or tetrahedron, with volume 100 has four vertices with Cartesian coordinates
where .
Evaluate .
A triangular pyramid, or tetrahedron, with volume 100 has four vertices with Cartesian coordinates
where
Evaluate
Tap to reveal answer
The tetrahedron is as follows (figure not to scale):
This is a triangular pyramid with a right triangle with legs 10 and as its base; the area of the base is
The height of the pyramid is 5, so
Set this equal to 100 to get :
The tetrahedron is as follows (figure not to scale):
This is a triangular pyramid with a right triangle with legs 10 and
The height of the pyramid is 5, so
Set this equal to 100 to get
← Didn't Know|Knew It →
A triangular pyramid, or tetrahedron, with volume 240 has four vertices with Cartesian coordinates
where .
Evaluate .
A triangular pyramid, or tetrahedron, with volume 240 has four vertices with Cartesian coordinates
where
Evaluate
Tap to reveal answer
The tetrahedron is as follows (figure not to scale):
This is a triangular pyramid with a right triangle with two legs of measure as its base; the area of the base is
The height of the pyramid is 24, so the volume is
Set this equal to 240 to get :
The tetrahedron is as follows (figure not to scale):
This is a triangular pyramid with a right triangle with two legs of measure
The height of the pyramid is 24, so the volume is
Set this equal to 240 to get
← Didn't Know|Knew It →
A triangular pyramid, or tetrahedron, with volume 1,000 has four vertices with Cartesian coordinates
where .
Evaluate .
A triangular pyramid, or tetrahedron, with volume 1,000 has four vertices with Cartesian coordinates
where
Evaluate
Tap to reveal answer
The tetrahedron is as follows:
This is a triangular pyramid with a right triangle with two legs of measure as its base; the area of the base is
Since the height of the pyramid is also , the volume is
.
Set this equal to 1,000:
The tetrahedron is as follows:
This is a triangular pyramid with a right triangle with two legs of measure
Since the height of the pyramid is also
Set this equal to 1,000:
← Didn't Know|Knew It →