Area and Conversion
Powers / Perfect Square / Greatest Perfect Square
200

Each face of a cube is a square with a side length of 2 feet. What is the total area of all the faces of the cube?

24 square feet

200

Determine whether 110 is a perfect square.

No

300

A square vegetable garden has side lengths of 12 feet. You plant flowers in the center portion of the garden, a square that has side lengths of 8 feet. You divide the remaining space into 4 equal sections and plant tomatoes, onions, zucchini, and peppers. What is the area of the zucchini section?

20 square feet

300

What is the greatest perfect square that is a factor of 350?

25

400

A tank is in the shape of a cube with edge lengths of 6 feet. Find the number of cubic feet of water needed to fill the tank. Then find the number of cubic yards of water needed to fill the tank.

216 cubic feet to fill tank

8 cubic yards

400

Which power has a value greater than 620 and less than 630?    

54 or 252

500

A square vegetable garden has side lengths of 14 feet. You plant flowers in the center portion of the garden, a square that has side lengths of 4 feet. You divide the remaining space into 4 equal sections and plant tomatoes, onions, zucchini, and peppers. What is the area of the tomato section?

45 square feet

500

What is the greatest perfect square that is a factor of 180?

36