Directorate of Engineering
and Computing
ASSESSMENT FRONT SHEET
STUDENT NAME:
……………………………………………………………………………………………………….
Programme:
Edexcel BTEC Level 2 Diploma in Engineering (Electronics)
Unit 3: Mathematics for Engineering
Assessor/s: W. Ditch, S. Quinn, P. Oakes,
Technicians
R. Cheng
Course Year: One
IV: D. Still Date: 4/11/2010
Assignment: Three of Four
Title: Area and Volume
Issued Date: 13/12/10
Required Date: WC 10/1/11
LEARNING OUTCOMES AND GRADING INDICATORS
LO2: Be able to use mensuration and trigonometry to solve engineering problems.
Grading Criteria
P4 – determine the area of two regular shapes from given data
P5 – determine the volume of two regular solid bodies from given data
M2 – identify the data required and determine the area of two compound shapes
M3 - identify the data required and determine the volume of two compound solid
bodies
Received date: (Lecturer’s Stamp)
Internally verified date: (IV Stamp)
I confirm that this assignment is my own work and that all other sources
of information have been properly acknowledged.
Student’s Signature:
Tutor Comments:
Internal Verifier Comments:
Lead Internal Verifier Comments:
Outcomes Achieved:
Scenario
Engineers need to understand mathematical concepts and to be able to
solve engineering problems by applying mathematical methods.
Mathematics is also a key skill used in engineering design. For example,
calculation of volume is an intermediate step in the calculation of mass,
while cross-sectional area may be used in the calculation of resistance, or
magnetic flux density.
Question 1
Calculate the area of the following shapes.
a)
a = 15 x 20 = 300 mm2
b)
a = 5 x 10 = 50 mm2
(P4)
Question 2
Find the volume of the following shapes.
a)
b)
v = 1/3 π r3 = 1/3 x π x 125
= 130.9 mm3
(P5)
v = π x 103 = 3141 mm3
Question 3
Calculate the area of the following compound shapes.
a)
a = (4 + 16) / 2 x 5 + 10 x 16 = 210 mm2
b)
circle = π x 22 = 12.57 mm2
ellipse = π x 3 x 10 = 94.23 mm2
rectangle = 2 x 50 = 100 mm2
Total = 206.8 mm2
(M2)
Question 4
Find the volume of the following composite solids.
a)
Cone vol. = 1/3 x 1 x π x 42 = 16.76 mm3
Cyl. vol. = 3 x π x 42 = 150.8 mm3
Total = 167.56 mm3
b)
Sphere vol. = 4/3 π x 33 =
= 113.1 mm3
Box vol. = 4 x 2 x 1 = 8 mm3
Total = 121.1 mm3
(M3)