Answer:
The dimensions of the base of the mood is square, given by 2 ft by 2 ft
And the height of the mood = 3 ft.
Explanation:
Volume of a pyramid = (1/3)(Area of base)(perpendicular height)
Let the length of the square base be b
Let the perpendicular height be h
Area of base = b²
Perpendicular height = h = b+1
Volume of the pyramid = 4 ft³
4 = (1/3)(b²)(b+1)
12 = b²(b+1)
b³ + b² = 12
b³ + b² - 12 = 0
Solving the polynomial,
b = 2 ft or -1.5 ft
And since dimensions cannot be negative,
b = 2 ft.
The height of the mood = b + 1 = 3 ft
