We know that the triangle 𝐴 prime 𝐴𝐵 will be a right triangle because it’s part of this rectangular parallelepiped. We’re not given any information as to the length of this line segment 𝐴 prime 𝐵, but let’s consider it as part of this right triangle. We know one of the dimensions of this rectangle will be 55 centimeters, but we’ll need to work out this length of 𝐴 prime 𝐵. We should recall that to find the area of a rectangle, we multiply the length by the width. This will be the plane that cuts through our solid. It’s the area of the rectangle 𝐶𝐵𝐴 prime 𝐷 prime. So let’s see what we’re asked to calculate.

What it means is that we’ll have right angles here, here, and here. We can alternatively think of this shape as a cuboid or rectangular prism. 𝐴𝐵𝐶𝐷𝐴 prime 𝐵 prime 𝐶 prime 𝐷 prime is described as a rectangular parallelepiped, which is a special type of parallelepiped where all six faces are rectangles. And we might usually see one drawn like this. We’re told that the three-dimensional shape in this figure is a parallelepiped. 𝐴𝐵 is 69 centimeters, 𝐵𝐶 is 55 centimeters, and 𝐴𝐴 prime is 92 centimeters. Let’s begin by filling in the given measurements. Determine the area of the rectangle 𝐶𝐵𝐴 prime 𝐷 prime. 𝐴𝐵𝐶𝐷 𝐴 prime 𝐵 prime 𝐶 prime 𝐷 prime is a rectangular parallelepiped whose three dimensions are 𝐴𝐵 equals 69 centimeters, 𝐵𝐶 equals 55 centimeters, and 𝐴𝐴 prime equals 92 centimeters.

Area of a rectangle formula diagonal