Question

Для банка заказали новый сейф, имеющий форму прямоугольного паралепипида. Длина сейфа 3 метра,ширина составляет 13/50 длины,а высота 15/26 ширины. Сколько слитков золота имеющих форму куба с ребром 6см можно положить в этот сейф? Помогите пж!!!!

Answer 1

АD=78см(ширина)
СС1=45см(высота)
АВ=300см(длина)

300:6=50(слитков) можно сложить в длину сейфа
78:6=13(слитков) можно сложить в ширину сейфа
45:6=7,5(слитков) можно сложить в длину сейфа

50*7.5*13=4875(слитков) можно сложить в сейф

но, если в длину нужно целое число слитков сложить, то:

50*7*13=4550(слитков) можно сложить в сейф

Answer 2

To determine how many gold ingots in the shape of a cube with an edge length of 6 cm can fit inside the rectangular parallelepiped safe, we need to calculate the volume of both the safe and the gold ingot.

Calculating the Volume of the Safe:

The safe has a length of 3 meters, a width of 13/50 times the length, and a height of 15/26 times the width. Let's calculate the volume of the safe using these dimensions.

Length of the safe = 3 meters Width of the safe = (13/50) * 3 meters Height of the safe = (15/26) * [(13/50) * 3] meters

To calculate the volume of the safe, we multiply the length, width, and height:

Volume of the safe = Length * Width * Height

Let's substitute the values and calculate the volume of the safe.

Volume of the safe = 3 meters * (13/50) * 3 meters * (15/26) * [(13/50) * 3] meters

Calculating the Volume of the Gold Ingot:

The gold ingot has a cube shape with an edge length of 6 cm. To calculate the volume of the gold ingot, we use the formula:

Volume of the gold ingot = Edge Length * Edge Length * Edge Length

Let's substitute the value and calculate the volume of the gold ingot.

Volume of the gold ingot = 6 cm * 6 cm * 6 cm

Now that we have calculated the volume of both the safe and the gold ingot, we can determine how many gold ingots can fit inside the safe by dividing the volume of the safe by the volume of the gold ingot.

Number of gold ingots = Volume of the safe / Volume of the gold ingot

Let's calculate the number of gold ingots that can fit inside the safe.

Calculation:

Volume of the safe = 3 meters * (13/50) * 3 meters * (15/26) * [(13/50) * 3] meters Volume of the gold ingot = 6 cm * 6 cm * 6 cm

Number of gold ingots = Volume of the safe / Volume of the gold ingot

Please note that we need to convert the units to ensure consistency. Let's convert the volume of the safe from cubic meters to cubic centimeters.

1 meter = 100 centimeters

Volume of the safe = (3 meters * 100 cm/meter) * (13/50) * (3 meters * 100 cm/meter) * (15/26) * [(13/50) * (3 meters * 100 cm/meter)] cubic centimeters

Now, let's substitute the values and calculate the number of gold ingots that can fit inside the safe.