Question

4. If the length of each edge of a cube is doubled, how many times does its volume become?
How many times does its surface area become?​

Answer 1

Step-by-step explanation:

GIVEN:

LENGTH OF EACH EDGE OF CUBE IS DOUBLED.

TO FIND:

☆HOW MANY TIMES DOES IT VOLUME BECOMES.

☆HOW MANY TIMES IT'S SURFACE AREA BECOME.

SOLUTION;

LET THE LENGTH OF EDGE OF A CUBE BE a.

GIVEN THAT IT IS DOUBLED =2a.

NOW VOLUME OF CUBE = a^3

AFTER EDGE IS DOUBLED THEN;

(2a)^3=8a^3

HENCE ITS VOLUME BECOMES 8 TIMES.

NOW SURFACE AREA=6a^2

AFTER EDGE BECOMES DOUBLE THE SURFACE AREA WILL BE= 2×6a^2=12a^2

HENCE THE SURFACE AREA WILL BECOME 12 TIMES.