if the one of the faces of cube is 40 m then it's volume is
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Answer:
A cube is a solid that has six faces. Each face is a square which is congruent (has the same size) to the other five faces. Each face or square has four congruent sides, i.e., each side has the same length s; therefore, the formula for the perimeter P of each face is P = 4s. Adjacent faces intersect each other at their intersecting sides of length s to form the edges of the cube for a total of 12 edges, and, consequently, each edge has a length e equal to length s, i.e., e = s; consequently, all 12 edges of a cube are congruent.
P = 4s
40 cm = 4s
(40 cm)/4 = (4s)/4
(40/4) cm = (4/4)s
10 cm = (1)s
10 cm = s
The volume V of a cube is given by the formula V = e³
= (10 cm)³ since e = s = 10 cm.
= (10)(10)(10) cm³
= (100)(10) cm³
= 1,000 cm³ is the volume of the cube in which one of its faces has a perimeter of 40 cm.
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If the perimeter of one of the faces of a cube is 40cm, then what is its volume?
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A cube is a solid that has six faces. Each face is a square which is congruent (has the same size) to the other five faces. Each face or square has four congruent sides, i.e., each side has the same length s; therefore, the formula for the perimeter P of each face is P = 4s. Adjacent faces intersect each other at their intersecting sides of length s to form the edges of the cube for a total of 12 edges, and, consequently, each edge has a length e equal to length s, i.e., e = s; consequently, all 12 edges of a cube are congruent.
P = 4s
40 cm = 4s
(40 cm)/4 = (4s)/4
(40/4) cm = (4/4)s
10 cm = (1)s
10 cm = s
The volume V of a cube is given by the formula V = e³
= (10 cm)³ since e = s = 10 cm.
= (10)(10)(10) cm³
= (100)(10) cm³
= 1,000 cm³ is the volume of the cube in which one of its faces has a perimeter of 40 cm.
Hope IT IS clear
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