Answer:
Ghe possible set of measurements for the base area and height are;
(96, 1)
(48, 2)
(32, 3)
(24, 4)
(16, 6)
(12, 8)
Explanation:
Formula for volume of a rectangular pyramid is;
V = ⅓Bh
Where;
B is area of base
h is height of pyramid
Thus, if volume is 32, then;
32 = ⅓Bh
Multiply both sides by 3 to get;
Bh = 96
Factors of 96 are; 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, and 96
Thus, the possible set of measurements for the base area and height are;
(96, 1)
(48, 2)
(32, 3)
(24, 4)
(16, 6)
(12, 8)