As we’re given two lengths in this right triangle and we want to find the length of this third side, then we can apply the Pythagorean theorem. We know that the triangle □ prime □□ 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 □ prime □, 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 □ prime □. 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 □□□ prime □ 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. □□□□□ prime □ prime □ prime □ 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. □□ is 69 centimeters, □□ is 55 centimeters, and □□ prime is 92 centimeters. Let’s begin by filling in the given measurements. Determine the area of the rectangle □□□ prime □ prime. □□□□ □ prime □ prime □ prime □ prime is a rectangular parallelepiped whose three dimensions are □□ equals 69 centimeters, □□ equals 55 centimeters, and □□ prime equals 92 centimeters.
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