Question

Suppose you have one cube with surface area of its one surface 49 sq cm. If you fill it with small cubes of side 0.7 cm each, then how many such cubes will fit into the larger cube?



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Answer 1

Answer:

Your answer is N = 1000

Step-by-step explanation:

Given :

• area of the big square of the cube = 49 sq cm
• small cube side = 0.7 cm

To find :

1. how many cubes need to fit into the bigger cube

solution:

area of the square = A²

                             A² = 49

                             A = √49

                             A = 7 cm

side of the big cube = 7 cm

volume of the big cube = A³

                                       = 7³ = 343 cm³

volume of small cube = a³

                                    = 0.7³

                                    = 0.343 cm³

number of small cubes fit into large cube = (N x 0.343 = 343)

                                                              N = 343/0.343

                                                              N = 1000

We need 1000 small cubes to fill the large cube fully.

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