OXYZ is a tetrahedron whose faces are identical equilateral triangles of side 10 m each. Given that the slant height of pyramid is 5 square root 3 metres
find its total surface area leaving your answer correct to 3 significant figures.

  1. 👍 0
  2. 👎 0
  3. 👁 464
  1. All that we really needed to know was that the sides were 10 m each for each of the 4 triangles.
    We could have found the height using Pythagoras.

    Area of one of them = (1/2)base x height = (1/2)(10)(5√3)
    So four of them will have an area of
    4(1/2)(10)(5√3) m^2 = 100√3 m^2 or appr .....

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    Which of the triangles described in the table is a right triangle? Triangles: Q, R, S, T Side 1: Q = 25, R = 26, S = 25, T = 25 Side 2: Q = 20, R = 20, S = 20, T = 26 Side 3: Q = 15, R = 26, S = 1,025, T = 650

  2. ap physics help please

    In the methane molecule, CH4, each hydrogen atom is at a corner of a regular tetrahedron with the carbon atom at the center. In coordinates for which one of the C-H bonds is in the direction of i + j + k, an adjacent C-H bond is

  3. Geometry

    Let ABC be any triangle. Equilateral triangles BCX, ACY, and BAZ are constructed such that none of these triangles overlaps triangle ABC. a) Draw a triangle ABC and then sketch the remainder of the figure. It will help if


    The two triangles above are similar. a. Find x using the ratio of the sides 12 cm and 16 cm: x/20 = 12/16 Show your work. b. Find x using the ratio of the sides 6 cm and 8 cm. Show your work. c. Explain why the answers to (a) and

  1. Math

    You want to wrap a gift shaped like the regular triangular prism shown. How many square inches of wrapping paper do you need to completely cover the​ prism? In a triangular prism, the front and back faces are triangles and the

  2. Calculus

    Consider a regular tetrahedron whose face is an equilateral triangle of side 7. Find the area of the horizontal cross section A at the level z=3. A= ? Find the volume of the tetrahedron. Consider a regular tetrahedron whose face

  3. Geometry

    Determine whether each statement is always sometimes or never true. If the answer is sometimes or never draw a counterexample. Two congruent triangels are similar : Two squares are similar : Two isosceles triangles are similar :

  4. math

    Thirty identical toothpicks were used to create the figure below. There are over 25 triangles in the figure. What is the fewest number of toothpicks that could be removed so that no triangles remain? The image is an equilateral

  1. Physics

    Three identical charges of 2.0 uC are placed at the vertices of an equilateral triangle, 0.15m on a side. Find the net force acting on each angle.

  2. geometry

    There are two noncongruent triangles that have a 9-inch side, a 10-inch side, and that enclose 36 square inches of area. Find the length of the third side in each of these triangles.

  3. Algebra 2

    Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. Find the sum of a finite geometric series. The sides of an equilateral triangle measure 16 inches. The midpoints of the

  4. Geometry

    Triangles ABF and EDG are congruent. Triangles ABF and GCF are equilateral. AG = 24 and CG = 1/5 AB. What is the total distance from A to B to C to D to E?? Please I don't understand this

You can view more similar questions or ask a new question.