Perfect Squares
What is the square root of 49/81?
7/9
What is the square root of 72.43?
8.51058...
What is the surface area of a cube that has a side length of 5.5 cm?
181.5 cm2
What is the surface area of a can of beans that has a radius of 3 cm and a height of 10 cm?
244.52 cm2
What is the surface area of a compound object where the small cube on top has a side length of 6 cm and the large cube has a surface area of 384 cm2?
528 cm2
If the area of a square is 64/100 square units, what is the side length of this square?
8/10 units
What two benchmarks (squares and square roots) can be used to find an estimate for the square root of 61?
49 and 7
64 and 8
A triangle has base length of 17 cm and a height of 23 cm. What would the surface area be?
195.5 cm2
What is the surface area of a right triangular prism where the triangle has a height of 6 cm and a length of 8 cm, and the prism itself has a width of 4 cm?
144 cm2 with a hypotenuse of 10 cm.
What is the surface area of a compound object consisting of a rectangular prism and a triangular prism? The rectangular prism is 1000 cm2 while the triangular prism has a height of 3 cm, a base of 8 cm, a length of 4 cm, and a hypotenuse of 8.5 cm?
1038 cm2
Is 1.44 a perfect square? How do you know?
the square root of 1.44 is 1.2. As the square root terminates, it is a perfect square.
If a right triangle has a base length of 9 cm and a side length of 16 cm, what is the length of the hypotenuse?
About 18.36 cm.
What is the surface area of a rectangular prism with a height of 2 cm, a length of 5 cm, and a width of 3 cm?
62 cm2
What is the surface area of a cylinder where the diameter is 12 cm and the height is 18 cm?
904.32 cm2
What is the surface area of a 2 layered cake where the top layer has a radius of 6 cm and a height of 6 cm and the bottom layer has a radius of 12 cm and a height of 6 cm?
1808.64 cm2
How do you know a number is a perfect square?
What is the square root of 153?
about 12.37
What is the surface area of a cube with a side length of 12 cm?
864 cm2
If a cylinder has a height of 6 cm and a radius of 4 cm and a triangular prism has a height of 9 cm, a base of 12 cm, a width of 5 cm, and a hypotenuse of 15 cm, which of these shapes has the most surface area?
The triangular prism.
What is the area of a compound object where the base cube has a side length of 9 cm and the small cube on top has a side length of 4 cm?
550 cm2
Which of these 5 numbers are perfect squares?
441, 1543, 1089, 6.89, 67, 1.69, 6.25.
441, 1089, 1.69, 6.25.
What is the closest perfect square/square root to the fraction 26/79? How might you use the knowledge as an estimate for the square root of 26/79?
25/81 and the square root is 5/9. I know that the square root of 26/79 will be close to 5/9.
What is the side length of a cube with a surface area of 384 cm2?
8 cm
If a can of corn has a diameter of 8 cm and when stacked in a pyramid of 10 cans, the pyramid is 44 cm tall, what is the surface area of one can?
376.8 cm2
What is the surface area of a compound object where the cylinder is 376.8 cm2 and the small cube on top of it has a side length of 3 cm?
412.8 cm2