Scouts have a tent in the shape of a regular quadrilateral pyramid with a side of the base 4 m and a height of 3 m. Determine the radius r (and height h) of the container so that they can hide the largest possible treasure.
Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):
Showing 0 comments:
Be the first to comment!
Following knowledge from mathematics are needed to solve this word math problem:
- Pythagorean theorem
- quadratic equation
- square root
- right triangle
- solid geometry
- square (second power, quadratic)
- body volume
- basic functions
- similarity of triangles
- expression of a variable from the formula
- high school
Next similar math problems:
- Triangular pyramid
What is the volume of a regular triangular pyramid with a side 3 cm long?
- Completing square
Solve the quadratic equation: m2=4m+20 using completing the square method
- Quadratic equation
Quadratic equation ? has roots x1 = -26 and x2 = -86. Calculate the coefficients b and c.
Equation ? has one root x1 = 8. Determine the coefficient b and the second root x2.
- Square root 2
If the square root of 3m2 +22 and -x = 0, and x=7, what is m?
- Equation 23
Find value of unknown x in equation: x+3/x+1=5 (problem finding x)
Calculate the length of a side of the equilateral triangle with an area of 50cm2.
- Quadratic equation
Find the roots of the quadratic equation: 3x2-4x + (-4) = 0.
- Solve 3
Solve quadratic equation: (6n+1) (4n-1) = 3n2
- Theorem prove
We want to prove the sentence: If the natural number n is divisible by six, then n is divisible by three. From what assumption we started?
- Evaluation of expressions
If a2-3a+1=0, find (i)a2+1/a2 (ii) a3+1/a3
Determine the quadratic equation absolute coefficient q, that the equation has a real double root and the root x calculate: ?
How much is sum of square root of six and the square root of 225?
The hypotenuse of a right triangle is 41 and the sum of legs is 49. Calculate the length of its legs.
- Solve equation
solve equation: ?
The height of the pole before the storm is 10 m. After a storm when they come to check it they see that on the ground from the pole blows part of the column. Distance from the pole is 3 meters. At how high was the pole broken? (In fact, a rectangular tria
Determine the discriminant of the equation: ?