The figure below shows a right pyramid on a square base ABCD of sides 4cm VA =VB = VC=VD = 8cm a) Find the height VO...

      

The figure below shows a right pyramid on a square base ABCD of sides 4cm VA =VB = VC=VD = 8cm

a) Find the height VO of the pyramid.
b) The angle between slant edge and the base ABCD
c) The angle between the planes VBC and ABCD
d) Find volume of the pyramid in litres.

  

Answers

---

---

Kavungya answered the question on September 18, 2019 at 13:36

Next: A curve passes through the origin and its gradient function is 3x² + 6x – 2 Find its equation
Previous: Triangle OPQ is such that OP = p and OQ = q point R divides OP in the ratio 1:3 and a point S divided...

View More Mathematics Questions and Answers | Return to Questions Index

Learn High School English on YouTube

Related Questions

---

• A curve passes through the origin and its gradient function is 3x² + 6x – 2 Find its equation (Solved)
  

  A curve passes through the origin and its gradient function is 3x² + 6x – 2
  Find its equation

  Date posted: September 18, 2019.  Answers (1)

• The nth term of an AP is given by 2n+ 3. Find the first three terms hence show that the sum of the...(Solved)
  

  The nth term of an AP is given by 2n+ 3. Find the first three terms hence show that the sum of the first n terms is given by Sn = n² + 4n

  Date posted: September 18, 2019.  Answers (1)

• Wafula was asked to round off to 2/3 decimal places but he truncated it to 3 decimal places.Determine the percentage error as a result...(Solved)
  

  Wafula was asked to round off 2/3 to 2 decimal places but he truncated it to 3 decimal places.
  Determine the percentage error as a result of misunderstanding of the question
  

  Date posted: September 18, 2019.  Answers (1)

• ABCD is a trapezium in which angle B = angle C=90^oCalculate the length DC hence the area of the trapezium. (Solved)
  

  ABCD is a trapezium in which angle B = angle C=90^o
  
  
  Calculate the length DC hence the area of the trapezium.

  Date posted: September 18, 2019.  Answers (1)

• In the circle below chords PQ and RS intersect internally at X. Given that RX = 8cm,XS = 3cm and PQ=10cm. Calculate PX (Solved)
  

  In the circle below chords PQ and RS intersect internally at X. Given that RX = 8cm,XS = 3cm
  and PQ=10cm. Calculate PX
  

  Date posted: September 18, 2019.  Answers (1)

• An investor deposited 40,000 in a bank compounded at the rate of R p.a semi-annually for 2 years and realized Ksh. 50,499. Find the rate...(Solved)
  

  An investor deposited 40,000 in a bank compounded at the rate of R p.a semi-annually for 2 years
  and realized Ksh. 50,499. Find the rate of compound interest. Give your answer correctly to 4
  significant figures
  

  Date posted: September 18, 2019.  Answers (1)

• Find the radius and centre of a circle whose equation is: 4x² + 4y² + 56x – 104y – 152 = 0 (Solved)
  

  Find the radius and centre of a circle whose equation is:
  4x² + 4y² + 56x – 104y – 152 = 0

  Date posted: September 18, 2019.  Answers (1)

• a) Construct a parallelogram PQRS such that PQ = 8cm PS = 4.5cm and angle QPS = 60^o b) Locate locus of a point...(Solved)
  

  a) Construct a parallelogram PQRS such that PQ = 8cm PS = 4.5cm and angle QPS = 60^o
  b) Locate locus of a point x such that x is equidistant from P and R.

  Date posted: September 18, 2019.  Answers (1)

• Given that matrix A = find matrix B such that A² = A + B (Solved)
  

  Given that matrix A = find matrix B such that A² = A + B

  Date posted: September 18, 2019.  Answers (1)

• Expand (2+ x)⁶ upto the fourth term Using the expansion solve ( 1.98)⁶ correct to 4 d.p(Solved)
  

  Expand (2+ x)⁶ upto the fourth term
  Using the expansion solve ( 1.98)⁶ correct to 4 d.p

  Date posted: September 18, 2019.  Answers (1)

• Find without using mathematical tables or calculator, the value of x which satisfy the equation. Log₂ (x² – 9) = 3 log₂ 2 +1 (Solved)
  

  Find without using mathematical tables or calculator, the value of x which satisfy the equation.
  Log₂ (x² – 9) = 3 log₂ 2 +1
  

  Date posted: September 18, 2019.  Answers (1)

• Make A the subject of the formula (Solved)
  

  Make A the subject of the formula
  

  Date posted: September 18, 2019.  Answers (1)

• Evaluate the following leaving your answer in surd form.(Solved)
  

  Evaluate the following leaving your answer in surd form.
  

  Date posted: September 18, 2019.  Answers (1)

• Use logarithms table to evaluate(Solved)
  

  Use logarithms table to evaluate
  

  Date posted: September 18, 2019.  Answers (1)

• A manager wishes to hire two types of machine. He considers the following facts: ...(Solved)
  

  A manager wishes to hire two types of machine. He considers the following facts:
  Machine A Machine B
  Floor space 2m³ 3 m³
  No. of men required to operate 4 3
  He has a maximum of 24m² of floor space and a maximum of 36 men available. In addition he is not allowed to hire more machines of type B than of type A.
  (a)If he hires x machines of type A and y machines of type B, write down all the inequalities
  that satisfy the above conditions.
  (b)Represent the inequalities on the grid and shade the unwanted region.
  (c)If the profit from machine A is sh. 4 per hour and that from using B is shs.8 per hour. What
  number of machine of each type should the manager choose to give the maximum profit

  Date posted: September 18, 2019.  Answers (1)

• The table below shows marks scored by 100 form four students in a mathematics examination. a) Draw an ogive to represent the above information. (b) Using your...(Solved)
  

  The table below shows marks scored by 100 form four students in a mathematics examination.
  
  a) Draw an ogive to represent the above information.
  (b) Using your graph, estimate:
  (i) the median
  (ii) the quartile deviation
  (c) If the pass mark is 45%, how many students passed?

  Date posted: September 18, 2019.  Answers (1)

• Rates of tax in operation in 2010 are given in the table below:-K£ p.a Rate of tax %1-5208 105209-9744 259745-14292 2014293-18840 15Over 18840 30(a)Mr. Lukandu pays sh. 5,400 as P.A.Y.E...(Solved)
  

  Rates of tax in operation in 2010 are given in the table below:-
  K£ p.a..............Rate of tax %
  1-5208.................10
  5209-9744..............25
  9745-14292.............20
  14293-18840............15
  Over 18840.............30
  (a)Mr. Lukandu pays sh. 5,400 as P.A.Y.E monthly. He was entitled to house allowances of Ksh. 9,000 p.m and getting a monthly tax relief of sh. 1093. Calculate his monthly basic salary.
  (b)Mr. Lukandu other deductions per month were;
  Co-operative society contribution sh. 2,000
  Loan payment sh. 2,500
  Calculate his net salary per month.
  

  Date posted: September 18, 2019.  Answers (1)

• a)(i) Taking the radius of the earth, R= 6370km and p = 22/7, calculate the shortest distance between the two cities P(60^oN, 29^oW) and Q(60^oN, 31^oE)...(Solved)
  

  a)(i) Taking the radius of the earth, R= 6370km and π = 22/7, calculate the shortest distance between
  the two cities P(60^oN, 29^oW) and Q(60^oN, 31^oE) along the parallel of latitude.
  (ii) If it is 1200hrs at P, what is the local time at Q
  (b)An aeroplane flew due south from a point A (60^oN, 45^oE) to a point B. the distance covered by
  the aeroplane was 800km. determine the position of B.
  

  Date posted: September 18, 2019.  Answers (1)

• The diagram below shows a circle ABCDE. The line FEG is a tangent to the circle at point E. Line DE is parallel to CG,...(Solved)
  

  The diagram below shows a circle ABCDE. The line FEG is a tangent to the circle at point E. Line DE is parallel to CG, ∠DEC = 28^o and ∠AEG = 32^o.
  
  Calculate:
  (a) ∠AEG
  (b) ∠ABC

  Date posted: September 18, 2019.  Answers (1)

• The following distribution shows the masses to the nearest kilogram of 50 pupils in standard 8. Calculate the standard deviation.(Solved)
  

  The following distribution shows the masses to the nearest kilogram of 50 pupils in standard 8.
  
  Calculate the standard deviation.

  Date posted: September 18, 2019.  Answers (1)