Question

there are two cubes. the smaller cube has a surface area of 24 square units. the larger cube has a surface area that is twice that of the smaller cube. what is the volume, in cubic units, of the larger cube?​

Answer 1

24 times 2 which will be 48

Answer 2

The Volume of larger cube is: 16 √2 cubic units.

What is Surface Area of cube?

Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape.

Surface Area of smaller cube is: 24 square units

Surface area of larger cube = 2(SA of smaller cube)

                                               = 48 square units

So, Surface area of larger cube = $6a^{2}$

                                        48        = 6* $a^{2}$

                                         8= $a^{2}$

                                        a= $2\sqrt{2}$ unit

Volume of larger cube= $a^{3}$

                                     =$(2\sqrt{2})^{3}$

                                    = 16 √2 cubic units.

Thus, the volume of larger cube is: 16 √2 cubic units.

Learn more about surface area of cube here:

https://brainly.com/question/13789496

#SPJ2