Question

The cube shown above has a volume of 8 cm3. 8 such cubes were joined to form a larger cube shown here.the total surface area of this larger cube?
Answer is 96 how?

Answer 1

volume of cube = a³ = 8cm³
a' = 2 cm
Volume of 8 such cube = 8*8 = 64cm³
now a³ = 64cm³
so new, a = 4cm
so total surface area of a cube formed by joining 8 small cube = 6a² = 6(4)² = 6*16
= 96cm²

Hope it will help u & please follow

Answer 2

Answer:

The total surface area of the larger cube is 96 centimeter square.

Step-by-step explanation:

Given : The cube has a volume of 8 cm³.  8 such cubes were joined to form a larger cube.

To find : The total surface area of this larger cube?

Solution :

Volume of the cube = 8 cm³

Larger cube is formed by joining 8 smaller cubes.

i.e. Volume of the larger cube =  8 times Volume of smaller cubes

$V=8\times 8=64\ cm^3$

We know, $V=s^3$

The side of the larger cube is

$64=s^3$

$s=\sqrt[n]{64}$

$s=4$

Total surface area of the larger cube is given by,

$TSA=6\times s^2$

$TSA=6\times 4^2$

$TSA=6\times 16$

$TSA=96\ cm^2$

Therefore, The total surface area of the larger cube is 96 centimeter square.