Murphey Assessment: 3D Pythagorean Theorem

Front

What is the 3D Pythagorean Theorem?

Back

Front

What is the formula to find the length of the diagonal of a cuboid?

Back

Front

If a box has dimensions 14cm, 10cm, and 5cm, what is the length of the longest rod that can fit inside?

Back

Front

What is the length of the diagonal of a rectangular prism with dimensions 3ft, 4ft, and 12ft?

Back

Front

What is the significance of the diagonal in a cuboid?

Back

The diagonal represents the longest straight line that can be drawn from one corner of the cuboid to the opposite corner, which is important for determining the maximum length of objects that can fit inside.

Front

How do you calculate the volume of a cuboid?

Back

Front

What is the relationship between the dimensions of a cuboid and its diagonal?

Back

The diagonal of a cuboid is always longer than any of its dimensions (length, width, height) and is calculated using the 3D Pythagorean theorem.

Front

If a classroom is 32ft long, 24ft wide, and 15ft high, what is the length of the longest pole that can fit inside?

Back

Front

What is the approximate length of the diagonal of a rectangular prism with dimensions 5cm, 12cm, and 13cm?

Back

Front

What is the formula for the surface area of a cuboid?

Back