SAT QOTD Area and Volume Friday

Front

What is the formula for the area of a square?

Back

Area = side², where 'side' is the length of one side of the square.

Front

If the length of a side of a square is 5 units, what is its area?

Back

Area = 5² = 25 square units.

Front

What is the relationship between the diagonals and the sides of a square?

Back

The diagonals of a square are equal in length and bisect each other at right angles.

Front

How do you find the length of the diagonal of a square?

Back

Diagonal = side√2, where 'side' is the length of one side of the square.

Front

If the area of a square is 100 square units, what is the length of one side?

Back

Side = √100 = 10 units.

Front

What is the area of a square with a diagonal of 10√2 units?

Back

Area = (diagonal/√2)² = (10√2/√2)² = 10² = 100 square units.

Front

What is the significance of the x- and y-axes in the context of a square in the xy-plane?

Back

The x- and y-axes can represent the orientation and position of the square, especially when its diagonals align with these axes.

Front

How do you calculate the area of a square inscribed in a circle?

Back

Area = (radius√2)² = 2 * radius², where 'radius' is the radius of the circle.

Front

What is the area of a square with vertices at (0,0), (0,5), (5,5), and (5,0)?

Back

Area = side² = 5² = 25 square units.

Front

What is the formula for the volume of a cube?

Back

Volume = side³, where 'side' is the length of one side of the cube.