The length of an isosceles cube is 30 cm, the length of the other is 6 cm. Find: 1) the ratio of the face area

| June 24, 2021 | education

The length of an isosceles cube is 30 cm, the length of the other is 6 cm. Find: 1) the ratio of the face area of the smaller cube to the face area of the larger one. 2) the ratio of the volume of a larger cube to a smaller one

According to the condition of the task, it is necessary to find the ratio of the faces and the volume of two cubes. To do this, first of all, we find the face area of each of them using the formula:

S = a².

30² = 900 cm² – the area of a large cube.

6² = 36 cm² -S smaller.

900: 36 = 25.

It turns out that the ratio of the face area of the smaller cube to the face area of the larger one: 1: 25.

We calculate the volume by the formula:

V = a³.

30³ = 27000 cm³ is a larger volume.

6³ = 216 cm³ – V smaller.

27000: 216 = 125, hence the volume ratio:

1: 125.



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