أرجو حل هذة المسألة فهى من نماذج امتحان الوزارة


b) a cuboid : its length + its width= 16 cm
its width + its height= 14 cm
its height+ its length= 18 cm
find its volume

بعد السلام
هى فبن نماذج الوزارة دى ؟؟؟؟؟؟؟؟؟؟؟؟؟؟؟؟؟؟؟؟؟؟؟؟؟؟؟؟؟؟
الحل وقد يكون عالى على الطلاب شوية
by adding first and second we get
2width+ length +height = 30
from third relation put length +height= 18 we get
2width+ 18 = 30
2width = 12
width = 6cm
from first relation we get
its length + 6 = 16 cm
its length= 10
its height+ 10= 18 cm
its height= 8 cm
the volume = .................................................. .......

By adding all left hand sides of the problem = all right hand sides of the problem
its length + its width= 16 cm
its width + its height= 14 cm
its height+ its length= 18 cm
2L + 2 W + 2H = 48
2(L + W + H ) = 48
L + W + H = 24
BY REPLACE ( L + W ) = 16
16 + H = 24
H = 24-16 =8
BY REPLACE (W + H ) = 14
14 + L = 24
L = 24-14 =10
BY REPLACE (L + H ) = 18
18 + W = 24
W = 24-18 =6
VOLUME = L × W × H= 10 ´6´ 8 =480 cm3

هذا النموذج الاول لأختبار الوزارة بعد ترجمته و ارجو المعذرة لأى خطأ بالترجمة

First question:
complete:
1) every thing occupies a part of space is called........

2) the ratio between 18 hours and one day in simplest form is ............

3) a cube its edge equals 0.6 dm, its volume =............cm3

4) if the student's height in a picture is 12cm and his real height is 1.2 ms so, the drawing scale is 1: .......

Second question:
choose the correct answer:
1) the suitable units for measuring a building height is
*cm * dm * meter * km

2) an agricultural machine tilled 14 feddan in 3.5 hours ,so the rate of working for every feddan /hour is
* ½ *4 *8 *49

3)3/4 litres equal: *75ml *750cm3 * 7.5 dm3 *0.075 m3

4) geometrical shapes in which the sum of every two consequent angles
equal 180degree are .........,........,..........

5) if 100 g of a type of food gives 300 calories, so how many calories
30 gm can give/
* 90 * 100 *900 *9000

third question:
A) in the sale season, nariman bought a refrigerator by L.E 2185 after a discount 5% what is the price before discount.

B) this shape is consisted of cubes have the same volumes, there is a hole extended to the downward end of the cuboid.
how many cubes are needed to fill the hole


fourth question:
1)the scale of a playground in a school is 1 ; 500 , if the dimensions of the playground in the drawing are 2cm and 4cm then find
A) the real playground dimensions B) the area of playground in m2

2)a glass cube container its inner edge length is 30 cm, it contains a water
if the water is raised by 5 cm when a piece of metal is fall in the ontainer find the volume of the metal piece.

fifth question:
a pump pours 60 litres of water/minute in a cuboid container its dimension are 1m ; 1.5 m ; 2 ms . what is the time needed to fill the container.

جزاكم الله كل خير
وايكم حل شمس ابو زينب عبدالله
l+w =16 ...........1
w+h=14..........................2
l+h=18.............3
1-2
l-h=2
2l=20
l=10
h=8
w=6
v=l*w*h=10*8*6=480cm3

l+w=16
l=16-w
w+h=14
h=14-w
h+l=18
replace h+(16-w)=18
h-w=2
14-2w=2
then w=6
h=14-6=8
l=16-6=10

2l+2w+2h=16+14+18
2l+2w+2h=48
h+w+l=24
h+16=24
h=8
.......

L + w = 16
h + w = 14
بالطرح ينتج
l - h = 2
l + h = 18
بالجمع ينتج
2l = 20
l = 10
h = 8
w = 6