Question

2. How many cubes 5 cm on each side, can be cut from a piece of lumber 5 cm by 5 cm
by 175 cm?​

Answer 1

Answer:

175 cm ÷ 5 cm = 33 cm.

Answer 2

Answer:

Concept :

A regular solid having six square faces, or a regular hexahedron, is referred to as a "cube" in Euclidean geometry. In mathematics and algebra, the third power of a quantity is known as the cube of that amount since the volume of a cube is expressed, in terms of an edge e, as e3. In other words, x3 is the cube of x and 33, or 27, is the cube of 3. The cube root of a number is the number of which a certain number is the cube; for example, since 27 is the cube of 3, 3 is the cube root of 27; graphically, 3 = 3Square root of 27.

Explanation:

Volume of number of sides = 5cm × 5cm × 175 cm

                                = 4375 $cm^{3}$

∴ The volume of the cube = 5cm × 5cm × 5cm

                                            = 125 $cm^{3}$

∴ A piece of cubes = 4375 ÷ 125

                               = 35 cubes.

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