Question

6. If the lateral surface area of a cube is 100 cm2, then its volume is​

Answer 1

Answer:

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Lateral S. A. = 4a²

100=4a²

25= a²

5cm = a

Volume = a³

=5³

=125cm²

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Answer 2

Recall:

Area of square = Length²

Volume of a cube = Length³

Define x:

Let x be the side length of the cube.

Find the area of 1 surface:

Area = Length²

Area = x²

Find the area of 4 surfaces (Lateral surface area):

1 surface = x²

4 surfaces = 4x²

Solve x:

Lateral surface area = 4x²

Lateral surface area = 100 cm²

4x² = 100

x² = 25

x = 5

Find the volume of the cube:

Volume = Length³

Volume = 5³

Volume = 125 cm³

Answer: The volume is 125 cm³