The shape of the cross-section is a rectangle Then the area of the rectangle ACHE will be 22.63 square units.
<h3>What is Geometry?</h3>
It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
A cube with a side length of 4 units is given.
Then the shape of the cross-section formed when a plane containing line AC and line EH intersects this cube will be a rectangle.
Then the area of the rectangle ACHE will be
The length of AC or HE will be 4√2.
Then we have
Area = 4 x 4√2
Area = 22.63 square units
The shape is determined because the section is a surface and the dimension of the surface are different.
More about the geometry link is given below.
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Answer:
The volume of the crystal is .
Step-by-step explanation:
The volume enclosed by a cube is the number of cubic units that will exactly fill a cube.
To find the volume of a cube recall that a cube has all edges the same length. The volume of a cube is found by multiplying the length of any edge by itself three times. Or as a formula
where:
<em>s</em> is the length of any edge of the cube.
From the information given we know that the crystal has edge lengths of 5 centimeters. Therefore, the volume of the crystal is
.
Answer:
Step-by-step explanation:
Statement. Reasoning
1.AC=HF. 1. Given
2.BC=FE. 2. Given
3. Angle ACB= 3. Right angles are congruent
Angle HFE
4. Triangle ABC = Triangle 4. SAS, side angle side
HEF
Answer:
y=-5/3x-2
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-7-3)/(3-(-3))
m=-10/(3+3)
m=-10/6
m=-5/3
y-y1=m(x-x1)
y-3=-5/3(x-(-3))
y-3=-5/3(x+3)
y=-5/3x-15/3+3
y=-5/3x-5+3
y=-5/3x-2