3 bars of length 16, 20 and 24 cm are cut into equal parts and are packed in a box which can contain maximum of two pieces of such rods. Find the minimum number of boxes required.6012830
Question
3 bars of length 16, 20 and 24 cm are cut into equal parts and are packed in a box which can contain maximum of two pieces of such rods. Find the minimum number of boxes required.6012830
Solution
Sure, let's solve this step by step:
Step 1: Find the greatest common divisor (GCD) of the lengths of the bars. The GCD of 16, 20, and 24 is 4 cm. This means that each bar will be cut into pieces of 4 cm each.
Step 2: Calculate the number of pieces each bar will be cut into. The 16 cm bar will be cut into 4 pieces, the 20 cm bar into 5 pieces, and the 24 cm bar into 6 pieces.
Step 3: Calculate the total number of pieces. This is 4 + 5 + 6 = 15 pieces.
Step 4: Since each box can contain a maximum of two pieces, divide the total number of pieces by 2. This gives 15 / 2 = 7.5.
Since we can't have half a box, we'll need to round up to the nearest whole number. So, we'll need a minimum of 8 boxes to pack all the pieces.
Similar Questions
Find the maximum length of a rod that can be placed in a box of dimension 10 cm × 15 cm × 20 cm.
A box measured 27 cm by 16 cm by 25 cm is about to be filled with smaller boxmeasured 3 cm by 4 cm by 5 cm.How many small boxes can fitinto the larger box?
A store that sells 5 different types of candy bars would like to put a box of each type on a shelf at the checkout. However, there is only space for 3 boxes. How many arrangements of 3 different candy bar boxes are possible?
A company makes steel rods shaped like cylinders. Each rod has a diameter of 4 centimeters and a height of 60 centimeters. If the company used 54,259.2cm3 of steel, how many rods did it make?Use 3.14 for π, and do not round your answer.
A delivery truck is transporting boxes of two sizes: large and small. The large boxes weigh 55 pounds each, and the small boxes weigh 25 pounds each. There are 115 boxes in all. If the truck is carrying a total of 4525 pounds in boxes, how many of each type of box is it carrying?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.