Answer:
A. 4 * 3 * 7 and 1 * 3 * 4
D. 4 * 6 * 1 and 6 *4 * 3
Explanation:
First I'll find the volume of the figure itself.
I'll split it into two figures. A 4 * 3 * 7 rectangular prism and a 1 * 3 * 4 rectangular prism. (That confirms A as one of the answers.)
(4 * 3 * 7) + (1 * 3 * 4)
(12 * 7) + 12
84 + 12
96 cubic meters
Now, I'll do the math to see which one of the remaining choices equals 96.
(4 * 6 * 7) + (3 * 3) = (24 * 7) + 9 = 168 * 9 = 177 cubic meters (X)
(4 * 7) + (4 * 3 * 6) = 28 + (12 * 6) = 28 + 72 = 100 cubic meters (X)
(4 * 6) + (4 * 6 * 3) = 24 + (24 * 3) = 24 = 72 = 96 cubic meters (✓)
(4 * 6 * 3) + (7 * 3 * 3) = (24 * 3) + (21 * 3) = 72 + 63 = 135 cubic meters (X)
With the problem solved, A & D are the answers to this question.