Question

3. Сколько потребуется проволоки для изготовления каркаса прямоугольного параллелепипеда, если его длина 16 см 2 мм, а ширина в 9 раз меньше длины, а высота на 2 мм больше ширины

Answer 1

Определим ширину: 16 см 2 мм : 9 = 16,2  см : 9 =1,8 см
Определим высоту 1,8 см + 2 мм = 1,8 см +0,2 см = 2 см
В параллелепипеде длина, ширина  и высота будут повторяться по 4 раза, значит Длина проволоки на каркас будет равна сумме длин всех ребер, то есть 16,2*4+1,8*4+2*4 = 4*(16,2+1,8+2) = 4*20=80 (см)

Answer 2

Calculation of Wire Required for the Rectangular Parallelepiped Frame

To calculate the amount of wire required for the rectangular parallelepiped frame, we need to determine the lengths of the edges of the frame.

Given: - Length of the frame: 16 cm 2 mm - Width of the frame: 9 times smaller than the length - Height of the frame: 2 mm greater than the width

Let's calculate the lengths of the edges:

1. Length of the frame: 16 cm 2 mm 2. Width of the frame: 9 times smaller than the length = 16 cm 2 mm / 9 3. Height of the frame: 2 mm greater than the width = (16 cm 2 mm / 9) + 2 mm

Now, let's perform the calculations:

1. Length of the frame: 16 cm 2 mm = 162 mm2. Width of the frame: 16 cm 2 mm / 9 = 18 cm = 180 mm3. Height of the frame: (16 cm 2 mm / 9) + 2 mm = 20 cm = 200 mm The lengths of the edges of the rectangular parallelepiped frame are as follows: - Length: 162 mm - Width: 180 mm - Height: 200 mm

To calculate the total amount of wire required, we need to find the perimeter of the frame and multiply it by the thickness of the wire.

The perimeter of the frame can be calculated using the formula: Perimeter = 2 * (Length + Width)

Let's calculate the perimeter:

Perimeter = 2 * (162 mm + 180 mm) = 2 * 342 mm = 684 mm

Now, let's assume the thickness of the wire is t mm.

The total amount of wire required can be calculated using the formula: Total Wire Required = Perimeter * t

Please provide the thickness of the wire (t) in millimeters, and I will calculate the total amount of wire required for the rectangular parallelepiped frame.