The surface area of this cube is 864 square yards. What is the value of q?

Volume  

=

512

cubic feet

Explanation:  

A cube has  

6

faces all with equal area.

If the total surface area of the cube is  

384

sq.ft.

then each face has an area of  

384

÷

6

=

64

sq.ft.

Each face of a cube is a square and if we denote the length of an edge as  

E

then the area of a face (in this case  

64

sq.ft.) is equal to  

E

2

XXX

E

2

=

64

sq.ft.

XXX

→

E

=

8

sq.ft.

The volume of a cube with edges of length  

E

is  

E

3

In this case  

Volume

=

E

3

=

8

3

=

512

sq.ft.

Hope i helped

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