Question

the lateral surface area of a cube is 256 m^3.the volume of the cube​

Answer 1

Answer:

64m³

Step-by-step explanation:

lateral surface area of a cube is 256 m²

4s²= 256

s²= 256/4

s²= 64

s= √64

S= 8m

volume = s³

volume = 8³

volume = 512m³

Answer 2

Step-by-step explanation:

Given, lateral surface area of a cube =256 m

2

.

We know, lateral surface area of cube =4(edge)

2

.

∴4(edge)

2

=256

⟹(edge)

2

=

4

256

⟹(edge)

2

=64

⟹ edge =8.

Also, volume of cube =( edge)

3

.

∴ Volume of cube =(8)

3

=512 m3.