Trent has an 6-foot tall tent in the shape of a square base pyramid with a
base length of 14 feet and slant height of 8 feet. If one bottle of
waterproof spray covers 75 square feet, how many bottles will he need to
waterproof his tent?
Trent needs
bottles

9514 1404 393

  6 bottles

Step-by-step explanation:

Each triangular face has an area of ...

  A = (1/2)bh

  A = (1/2)(14 ft)(8 ft) = 56 ft²

The square base has an area of ...

  A = s²

  A = (14 ft)² = 196 ft²

Then the total area of 4 faces and the base is ...

  SA = base area + 4 × face area

  SA = 196 ft² + 4×56 ft² = 420 ft²

The number of bottles required to cover this area is ...

  (420 ft²)/(75 ft²/bottle) = 5.6 bottles

Trent needs 6 bottles of waterproof spray.

Additional comment

The geometry described here cannot exist.

If the base and slant height are correct, the tent will be about 3.9 feet tall. If the base and height are correct, the tent will have a slant height of about 9.2 feet. If the height and slant height are correct, the base will be about 10.6 feet.

step-by-step explanation:

4 + 5 7/9= 9 7/9

step-by-step explanation: