Trusted since 2008
Study resources on Kenyaplex

Get ready-made curriculum aligned revision materials

Exam papers, notes, holiday assignments and topical questions – all aligned to the Kenyan curriculum.

The figure below is a solid frustrum of a rectangular based pryramid AB=12cm, BC=10cm, EF=6cm FG=5cm, FB=8cm and vertical height 6cm.

The figure below is a solid frustrum of a rectangular based pryramid AB=12cm, BC=10cm, EF=6cm FG=5cm, FB=8cm and vertical height 6cm.
q214920191004.png

(a) Calculate the volume of the frustrum
(b) Calculate the surface area of the frustrum

Answers


Wilfred
q21a4920191004.png
Wilfykil answered the question on September 4, 2019 at 07:08

Answer Attachments

Exams With Marking Schemes

Related Questions

  • The probability of Onyancha, Nyamusi and Jemima hitting the bull’s eye are (Solved)

    The probability of Onyancha, Nyamusi and Jemima hitting the bull’s eye are q20492019957.png respectively.

    (a) Draw a probability tree diagram showing this possible outcomes
    (b) Find the probability that;
    (i) All hit the bulls eye
    (ii) Only one of them hit the bull’s eye
    (iii) At most one misses the bull’s eye

    Date posted: September 4, 2019 .    Answers (1)

  • A passenger train travelling at 25km/hr is moving in the same direction as the truck travelling at 30km/hr. (Solved)

    A passenger train travelling at 25km/hr is moving in the same direction as the truck travelling at 30km/hr. the railway line runs parallel to the road and the track takes 1 ½ to overtake the train completely

    (a) Given that the truck is 5 metres long determine the length of the train in metres
    (b) The track and the train continue moving parallel to each other at the original speeds. Calculate the distance between them after 4 minutes and 4 seconds after the track overtake the train
    (c) The track stopped 45 minutes after overtaking the train. How long did the train take to catch up with the truck

    Date posted: September 4, 2019 .    Answers (1)

  • Four towns A,B,C and D are such that B is on a bearing of 247o and 6km from A. (Solved)

    Four towns A,B,C and D are such that B is on a bearing of 247o and 6km from A. C is due SSE and 4.8km from B. D is to the south of A and the bearing of C from D is S44oW

    (a) Make a scale drawing showing the relative positions of A,B,C and D using the scale 1cm represents 1km
    (b) Use your drawing to determine
    (i) The bearing of A from C
    (ii) The distance between C and D
    (iii) How far D is east of B
    (c) The average speed of a cyclist from C to A if he takes 30 minuets between A and D and 20 minutes between D and A

    Date posted: September 4, 2019 .    Answers (1)

  • A cold water tap can fill a bath in 3 minutes while a hot tap can fill in 5 minutes. (Solved)

    A cold water tap can fill a bath in 3 minutes while a hot tap can fill in 5 minutes. The drain pipe can empty the bath in 3 ¾ minutes. The two taps and the drain pipe are fully open for 2 minutes, after which the drain pipe is closed.

    (a) What fraction of the bath is filled after the first two minutes
    (b) How many seconds are required for the bath to be completely filled?
    (c) Given that the cold water tap delivers water at the rate of 200cm3/s
    Determine
    I. The capacity of the bath in litres
    II. The rate of flow of the hot water tap

    Date posted: September 4, 2019 .    Answers (1)

  • Three years ago, James was three times as old as his Peter. (Solved)

    Three years ago, James was three times as old as his Peter. In five years time, the sum of their ages will be 76. Determine their present ages

    Date posted: September 4, 2019 .    Answers (1)

  • In the figure below, AB is parallel to DE, DE bisects angle BDG, angle DCF=60o angle CFG=110o (Solved)

    In the figure below, AB is parallel to DE, DE bisects angle BDG, angle DCF=60o angle CFG=110o
    q14492019901.png

    Find
    (a) angle CDF
    (b) angle ABD
    Give reasons for your answers

    Date posted: September 4, 2019 .    Answers (1)

  • A contractor was to finish a piece of work in 80 days. He employed 150 workers to work for 6 hours a day. (Solved)

    A contractor was to finish a piece of work in 80 days. He employed 150 workers to work for 6 hours a day. After 30 days he found out that only a quarter of the work had been done. How many more workers did he require to finish the work in time

    Date posted: September 4, 2019 .    Answers (1)

  • The resistance to the motion of a car is partly constant and partly varies as the square of the speed. (Solved)

    The resistance to the motion of a car is partly constant and partly varies as the square of the speed. At
    40km/h-1 the resistance and at 60kmh-1 it is 730N. What will be the resistance at 70kmh-1?

    Date posted: September 4, 2019 .    Answers (1)

  • Solve for x and y in the simultaneous equations given below (Solved)

    Solve for x and y in the simultaneous equations given below
    21x-12y=-29
    12x+5y=19

    Date posted: September 4, 2019 .    Answers (1)

  • A line Ax +3y-6=0 is perpendicular to the line 5x+7y-k=0. (Solved)

    A line Ax +3y-6=0 is perpendicular to the line 5x+7y-k=0. If 5x+7y-k=0 passes through the point (4,3). Determine the values of A and K

    Date posted: September 4, 2019 .    Answers (1)

  • Two circles of radii 3.5cm and 4.2cm with centres O1 and O1 respectively intersect at points A and B as shown in the figure below. (Solved)

    Two circles of radii 3.5cm and 4.2cm with centres O1 and O2 respectively intersect at points A and B as shown in the figure below. The distance of the centres is 6cm.
    q233920191137.png

    Calculate
    (a) angle AO1B to the nearest degree
    (b) angle AO2B to the nearest degree
    (c) Area of the quadrilateral O1AO2B, correct to 2 decimal places.
    (d) The shaded area correct to two significant figures.(Take π =22/7)

    Date posted: September 3, 2019 .    Answers (1)

  • The diagram below shows a frustrum made by cutting of a small cone on a plane parallel to the base of the original cone. (Solved)

    The diagram below shows a frustrum made by cutting of a small cone on a plane parallel to the base of
    the original cone. The frustrum represents a bucket with the open-end diameter of 28cm and the bottom diameter of 21cm. The bucket is 20cm deep. Calculate to 1 decimal place, the capacity of the bucket in litres.
    q21a3920191109.png

    Date posted: September 3, 2019 .    Answers (1)

  • The figure below shows a metal solid consisting of a right cone mounted onto a hemisphere. (Solved)

    (a)The figure below shows a metal solid consisting of a right cone mounted onto a hemisphere. The height h of the cone is twice the radius r. if the volume of the solid is 36cm3, find the radius of the hemisphere.
    q203920191103.png

    (b) The solid is totally immersed in water contained in a cylindrical tin of radius 9cm. through what height does the water level in the tin rise.

    (c) The solid is melted and recast into a right pyramid of vertical height 4.2cm. Find the base area of the pyramid.

    (d) If the solid is of mass 14.4g. Find its density in kg/m3.

    Date posted: September 3, 2019 .    Answers (1)

  • Five towns A,B,C,D and E are such that B is on a bearing of 040o and 6km from E. (Solved)

    Five towns A,B,C,D and E are such that B is on a bearing of 040o and 6km from E. D is due west of E on a bearing of 340o from E. A is due North of E on a bearing of 045o from D. C is on a bearing of 250o from B and due North of E.

    (a) Make a scale drawing showing the positions of the five towns.(Use a scale of 1cm to represent 1km)
    (b) Use your drawing to determine;
    (i) the bearing and distance of B from A.
    (ii) the bearing and distance of C from D.
    (iii) the distance between A and E.

    Date posted: September 3, 2019 .    Answers (1)

  • A milk vendor bought 20 litres of milk at Ksh.15 per litre and added 5 litres of water to the milk. (Solved)

    A milk vendor bought 20 litres of milk at Ksh.15 per litre and added 5 litres of water to the milk. If he
    sold the mixture at Ksh.18 per litre, what was the percentage profit.

    Date posted: September 3, 2019 .    Answers (1)

  • Find the percentage error in the perimeter of a regular polygon whose side is 15.0cm. (Solved)

    Find the percentage error in the perimeter of a regular polygon whose side is 15.0cm.

    Date posted: September 3, 2019 .    Answers (1)

  • The table below shows monthly income tax rates. (Solved)

    The table below shows monthly income tax rates.
    q222920191634.png

    Mrs. Wanjala earns a monthly salary of Ksh.15,000 and a taxable travel allowance of Ksh. 5,000 per month. She is also provided with a house by the institution for which she pays a nominal rent of Ksh.1000 per month.
    (a) Calculate the employees taxable income every month.
    (b) Calculate the employees monthly total tax payable
    (c) If the employee is entitled to a personal relief of Ksh.900 per month and a non taxable medical
    allowance of Ksh.2,000. Calculate her net monthly income.

    Date posted: September 2, 2019 .    Answers (1)

  • A solid is partly a cone and partly a hemisphere. The radius of the hemisphere is 5cm. (Solved)

    A solid is partly a cone and partly a hemisphere. The radius of the hemisphere is 5cm. the height of the solid is 17cm. Determine:
    (a) The volume of the cone.
    (b) The volume of the hemispherical part.
    (c) The volume of the solid.
    (d) The curved surface area of the cone.
    (e) The curved surface area of the hemisphere.
    (f) The total surface area of the solid.

    Date posted: September 2, 2019 .    Answers (1)

  • The diagram below shows a histogram representing marks obtained in a certain test. (Solved)

    The diagram below shows a histogram representing marks obtained in a certain test. Develop a frequency distribution table.
    q72920191218.png

    Date posted: September 2, 2019 .    Answers (1)

  • The figure below is a cut out net of a wedge. Find its volume. (Solved)

    The figure below is a cut out net of a wedge. Find its volume.
    q42920191258.png

    Date posted: September 2, 2019 .    Answers (1)