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| 3 Questions

Note from the author:

Volume and cube roots

1

1 pt

Fiona is making her own checkers game set. The area of the square game board she makes is 256 square inches.

What is the length, in inches, of one side of the game board?

2

1 pt

Fiona cuts out checkers pieces from sheets of construction paper that are each 0.0063 inch thick.

What is the thickness, in inches, of one checkers piece, written in scientific notation?

3

2 pts

Fiona plans to make a box in the shape of a rectangular prism for storing the checkers pieces. The box will have a square base and a volume of 8 cubic inches. She wants the smallest dimension to be at least 1 inch. She comes up with two different designs for the box. One of the designs has dimensions of 1 inch by 1 inch by 8 inches.

What could be the dimensions, in inches, of Fiona’s other box? Why does this meet Fiona’s requirements?

(Hint: The volume of a rectangular prism is l w h.)

Pa Deptment of Education 2015 Mathematics Item and Scoring Sampler Grade 8

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