數學功課!THX

2007-11-21 4:58 am
The dimensions of a box are 45cm X 30cm X 20cm.
a)How many cubes of sides 5cm can be packed into the box?
b)If every 1cm* (*=3) of the cubes weighs 0.4g,find the greatest total weight,in kg,of the cubes containes in the box.
分開兩條黎計既,a係1條b係1條。唔該曬

回答 (4)

2007-11-22 11:42 pm
✔ 最佳答案
a) Dimensions of the box are 45cm x 30cm x 20cm
number of cubes = (45/5) x (30/5) x (20/5)
= 9 x 6 x 4
= 216 cubes

b) volumn of 1 cube = 5cm x 5cm x 5cm = 125cm^3
weight of 1 cube = 125 x 0.4g = 50g = 0.05kg
max number of cubes = 216
weight of 216 cubes = 216 x 0.05kg = 10.8kg
.'.greatest total weight = 10.8kg
2007-11-21 5:31 am
a) 45/5 = 9
30/5 = 6
20/5 = 4
No. of Cubes = 9 x 6 x 4 = 216

b) Total weight of the cubes = 45 x 30 x 20 x 0.4 g
= 1.08 kg
2007-11-21 5:28 am
a) Volume of the box
= (45x30x20) cm* (*=3)
= 27000cm* (*=3)

The volume of one cube
= (5x5x5)cm* (*=3)
= 125cm* (*=3)

No. of cubes that can be put in the box\
= (27000/ 125)
= 216

b) The greatest total weight
= (0.4x125x216) kg
= 10800 kg
2007-11-21 5:04 am
a. 216
b10800


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