ISEE Word Problems Question 118: Answer and Explanation

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Question: 118

13. The board shown below is 6 feet long, 4 inches wide, and 2 inches thick. One-third of it will be driven into the ground. How much surface area remains above ground

ISEEPRI%201-2.tif

  • A. About 4 sq. ft.
  • B. Slightly less than 5 sq. ft.
  • C. Slightly more than 5 sq. ft.
  • D. About 8 sq. ft.

Correct Answer: A

Explanation:

The correct answer is (A). One third of the board will be driven into the ground, leaving 4 feet exposed. The exposed part of the board has 5 faces: two faces 4 feet long by 4 inches wide; two faces 4 feet long by 2 inches wide; and one face (the end) 2 inches by 4 inches. Because the answer choices are in units of square feet, we will calculate in square feet:

45294.png

45283.png

45273.png

The sum is 45261.png sq. ft. of board remaining above ground.

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