Question 20
Hilda has 2 identical cuboids with integral side lengths and each cuboid has exactly 2 square faces. She combines them in 2 ways as figures below. Given that the total surface area of figure 1 is 504 cm² and the total surface area of figure 2 is 468 cm², find the volume of each cuboid.
Editorial joining model: the blocks have dimensions a,a,b with a ≠ b. Figure 1 has a square contact face; figure 2 has a full rectangular contact face. There are no overlaps or gaps.
Editorial joining model: the blocks have dimensions a,a,b with a ≠ b. Figure 1 has a square contact face; figure 2 has a full rectangular contact face. There are no overlaps or gaps.