Answer:
The answer is option 2.
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