Question

Во сколько раз объем куба с ребром 1 см меньше объема куба с ребром 3 дм?

Answer 1

а1=1см

V1=a1*a1*a1=1*1*1=1см³

a2=3дм=30см

V2=a2*a2*a2=30*30*30=27000cм³

V2/V1=27000/1=27000 раз

ОТВЕТ: объём куба с ребром 1см в 27000 раз меньше объёма куба с ребром 3 дм.

Answer 2

Calculating the Volume Difference Between Two Cubes

To calculate the volume difference between a cube with a side length of 1 cm and a cube with a side length of 3 dm, we can use the formula for the volume of a cube, which is given by V = a^3, where "a" is the length of the side of the cube.

The volume of the cube with a side length of 1 cm is: V1 = 1^3 = 1 cm^3.

The volume of the cube with a side length of 3 dm is: V2 = 3^3 = 27 dm^3.

Now, we need to convert the volume of the second cube from cubic decimeters to cubic centimeters, as 1 dm^3 is equal to 1000 cm^3.

So, the volume of the second cube in cubic centimeters is: V2 = 27 dm^3 * 1000 cm^3/dm^3 = 27000 cm^3.

Calculating the Ratio of the Volumes

Now, we can calculate the ratio of the volumes: V2 / V1 = 27000 cm^3 / 1 cm^3 = 27000.

Conclusion

The volume of the cube with a side length of 3 dm is 27000 times greater than the volume of the cube with a side length of 1 cm.