The image contains a table with dimensions and volumes. The columns represent different rectangular parallelepipeds, and the rows represent length (a), width (b), height (c), and volume (V). The values are given in various units such as meters (m), centimeters (cm), millimeters (mm), and decimeters (dm). Some cells for volume are empty, indicating they need to be calculated.

Question

Вопрос:

The image contains a table with dimensions and volumes. The columns represent different rectangular parallelepipeds, and the rows represent length (a), width (b), height (c), and volume (V). The values are given in various units such as meters (m), centimeters (cm), millimeters (mm), and decimeters (dm). Some cells for volume are empty, indicating they need to be calculated.

Ответ:

ФИО:Телефон:Емаил:Полное описание сути нарушения прав (почему распространение данной информации запрещено Правообладателем):

Accepted Answer

Calculation of Volumes

The table presents dimensions of rectangular parallelepipeds and requires the calculation of their volumes. To calculate the volume (V) of a rectangular parallelepiped, the formula is V = length (a) × width (b) × height (c).

Let's calculate the volume for each column, ensuring all dimensions are converted to a consistent unit (e.g., cm) before multiplication.

Column 1:

Length (a): 2 m = 200 cm
Width (b): 25 cm
Height (c): 3 cm
Volume (V) = 200 cm × 25 cm × 3 cm = 15000 cm³

Column 2:

Length (a): 12 cm
Width (b): 1.5 dm = 15 cm
Height (c): 50 mm = 5 cm
Volume (V) = 12 cm × 15 cm × 5 cm = 900 cm³

Column 3:

Length (a): 0.5 dm = 5 cm
Width (b): 60 mm = 6 cm
Height (c): 0.3 m = 30 cm
Volume (V) = 5 cm × 6 cm × 30 cm = 900 cm³

Column 4:

Length (a): 8 cm
Width (b): 0.11 m = 11 cm
Height (c): 25 cm
Volume (V) = 8 cm × 11 cm × 25 cm = 2200 cm³

Column 5:

Length (a): 4.5 m = 450 cm
Width (b): 2 cm
Height (c): 10 mm = 1 cm
Volume (V) = 450 cm × 2 cm × 1 cm = 900 cm³

Column 6:

Length (a): 130 mm = 13 cm
Width (b): 9 cm
Height (c): 0.2 m = 20 cm
Volume (V) = 13 cm × 9 cm × 20 cm = 2340 cm³

Column 7:

Length (a): 1.7 dm = 17 cm
Width (b): 0.1 m = 10 cm
Height (c): 40 cm
Volume (V) = 17 cm × 10 cm × 40 cm = 6800 cm³

Column 8:

Length (a): 0.3 m = 30 cm
Width (b): 200 mm = 20 cm
Height (c): 7 cm
Volume (V) = 30 cm × 20 cm × 7 cm = 4200 cm³

Column 9:

Length (a): 6 cm
Width (b): 8 dm = 80 cm
Height (c): 0.15 m = 15 cm
Volume (V) = 6 cm × 80 cm × 15 cm = 7200 cm³

Column 10:

Length (a): 2.2 m = 220 cm
Width (b): 5 cm
Height (c): 20 mm = 2 cm
Volume (V) = 220 cm × 5 cm × 2 cm = 2200 cm³

The units for volume in the table are consistently indicated as cm³ (cubic centimeters) or dm³ (cubic decimeters) as placeholders for the calculated values.