If the edge of a cube is of length 2 cm, then find its volume.
Answers
Answered by
6
Answer:
8 cm³
Step-by-step explanation:
a=2 cm
V=a³
V=(2 cm)³
V= 8 cm³
Answered by
0
Answer:
ANSWER
Let the length of the edge of the cube be x
Length after 2cm increase =x+2
Then original Volume of the cube = (Length)
3
That is, Volume =x
3
New Volume =(x+2)
3
Given that after increasing the length of the edge, the volume is increased by 488cm
2
⇒(x+2)
3
−x
3
=488
⇒x
3
+6x
2
+12x+8−x
3
=488
⇒6x
2
+12x−480=0
⇒x
2
+2x−80=0
⇒(x−8)(x+10)=0
⇒x=8orx=−10(x
=−10,xcannotbenegative)
Therefore the length of each edge of the cube is 8+2=10cm
Step-by-step explanation:
Hope It's Helpful.
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