Question

A cube has a volume of 8cm³ then its Volume is_____Cm​

Answer 1

Explanation:

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^3V=8×8=64 cm

3

We know, V=s^3V=s

3

The side of the larger cube is

64=s^364=s

3

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

n

64

s=4s=4

Total surface area of the larger cube is given by,

TSA=6\times s^2TSA=6×s

2

TSA=6\times 4^2TSA=6×4

2

TSA=6\times 16TSA=6×16

TSA=96\ cm^2TSA=96 cm

2

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