Question

the difference between total surface area and lateral surface area of cube is 98 cm find its volume​

Answer 1

Answer:

Volume = 343 Cubic CM

Step-by-step explanation:

Let a be one side of the cube

Total Surface Area , TSA = 6$a^{2}$

Lateral Surface Area, LSA = 4$a^{2}$

TSA - LSA = 6$a^{2}$ - 2$a^{2}$

98 CM = 2$a^{2}$

$a^{2}$ = 98/2

$a^{2}$ = 49

Therefore , a = 7 CM

Volume of Cube = $a^{3}$

= $7^{3}$ = 7 x 7 x 7

= 343 Cubic CM