Question

1. If the perimeter of one of the faces of a cube is 40 cm, them its volume is

(a) 6000 cu cm

(b) 1600 cu cm

(c) 1000 cu cm

(d) 600 cu cm​

Answer 1

Answer:

c) 1000 cu cm

Step-by-step explanation:

In a cube, all faces are equal squares.

4*Side= 40 cm

Side= 10 cm

Therefore, Volume = 10*10*10

= 1000 cu cm

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Answer 2

Question

1. If the perimeter of one of the faces of a cube is 40 cm, them its volume is

(a) 6000 cu cm

(b) 1600 cu cm

(c) 1000 cu cm

(d) 600 cu cm

Answer

Given: Perimeter of one of the faces of a cube(a)=40

To find: Volume of the cube

We know,

*The face of a cube is a square* which means that the perimeter of a the face of a cube is 4a

Therefore

Perimeter of a cube = 40

=> 4a = 40

=> a = 10

Hence the side or edges is 10.

Let's find the volume!

We have,

Volume is a cube = a³

Volume is a cube = a×a×a

Volume is a cube = 10×10×10

Volume is a cube = 1000cm³

Therefore, the volume of the cube whose perimter of its face is 40 is 1000cm³

The correct answer is option (c) 1000cu cm.