Answer:
=
=
Step-by-step explanation:
Given:
is a right triangle.
To find:
We know that tangent of an angle is given by the ratio=
The opposite side and adjacent side is taken with respect to the angle for which the tangent is to be found.
=
=
The edge length that can be found is 6 cm
The block will not fit in the square hole.
<h3>How to find the volume of a cube?</h3>
We are given that the volume of a cube-shaped block is 216 cubic centimeters.
Thus;
V = 216 cubic centimeters.
Now, volume of a cube = a³
where x is an edge length
Thus;
a³ = 216
a = ∛216
a = 6 cm
The edge length that can be found is 6 cm
b) To know if the block will fit into the square hole, we need to find the area of one side of the block
Area of one side of block = 6 * 6 = 36 cm²
This is greater than the area of the square hole and as such the block will not fit in the square hole
Read more about Volume of a cube at; brainly.com/question/1882850
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First, lets just write down what we are given,
R of cone = R of cylinder / 2
H of cone = R of cylinder
Volume of a cone = pi*r^2*h/3
All we are asked is to show what the volume of the cone is with only the variable of r which is the radius of the cylinder( I'm guessing ). So,
pi*(r/2)^2*r/3