The answer is r = -1/n+A/n
Answer:
The volume of the space outside the pyramid but inside the prism is 225 cubic centimeters.
Step-by-step explanation:
To find this, you subtract the volume of the pyramid from the volume of the rectangular prism.
The prism and pyramid's bases is 25 cm²
The pyramid's height is 12÷2 or 6 cm
The volume formula for a prism is l×w×h
The volume formula for a pyramid is
×b×h
The area of the prism is 5×5×12 or 300 cm³
The area of the pyramid is
or 75 cm³
300 cm³-75 cm³=225 cm³
The volume outside the pyramid but inside the prism is 225 cm³.
So the width can be written as W=3L-6. (L is length and W is width). The maximum the width could be is 45mm, so try to use 45mm in place of W. 45=3L-6. Add 6 to both sides and you get 51=3L. Divide both sides by 3 and you get 17=L, where L is the length.
Answer:
1, 3, 4 i hope this helps ;)
Step-by-step explanation:
Given the isosceles right triangle in which each of its legs has a measure of 4:
Let c = hypotenuse
a = one of the legs of the triangle
b = the other leg of the triangle
Use the Pythagorean Theorem to solve for the measure of the hypotenuse:
c^ 2 = a^2 + b^2
c^ 2 = (4)^2 + (4)^2
c^ 2 = 16 + 16
c^2 = 32
Next, take the square root of each side of the equation to solve for c:
√(c^2) = √(32)
c = 4√(2)
Therefore, the correct answer is Option 3) 4√(2).