What is the total volume of glass used to make the award?
120 inches cubed
152 inches cubed
168 inches cubed
204 inches cubed

The answer is option 2.

Step-by-step explanation:

We have to seperate the figure into 2 shapes, pyramid and cube. Then you find the volume of each shapes. First, we will find the volume of pyramid using the formula, V = 1/3×base area×h where the base area is the area of the square and h is the height of pyramid :

base area = 6×4

= 24 in²

h = 15 - 2

= 13 in

V = 1/3×24×13

= 104 in³

Next you have to find the voulme of cube with the formula, V = l×b×h where l represents the length, b is breadth and h is the height :

l = 6 in

b = 4 in

h = 2 in

V = 6×4×2

= 48 in³

Lastly, you just have to add up both voulmes of the shapes together :

V pyramid = 104 in³

V cube = 48 in³

V figure = 104 + 48

= 152 in³

v: l•w•h÷2.

v: 20•6•8 ÷2

v: 960÷2

v: 480

15 units use socratic

step-by-step explanation: 15 units