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Yuri [45]
3 years ago
11

3, A cube has a volume of 12 167 cm’. Calculate: (a) the height of the cube. (b) the area of one face of the cube.​

Mathematics
1 answer:
Anastaziya [24]3 years ago
8 0

Answer:

A. V =  a^{3}

   a= V^1/3 = 12167^1/3 = 23cm

The height = 23cm

B. Area of one face of the cube = 6*S^{2} = 6*23^{2} = 3174cm^{2}

Step-by-step explanation:

A. To find the height of the cube, I used the cube root of the given volume, since the volume of a cube is equal to the cube root of its length/height

B. To find the area of one side of the cube, I sustitute S for the side length/height of the cube, which is 23cm. Then I multiplying the length of the cube's side by its width to find its area, since the length and width of a cube's side is the same.

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