Question

compute the weight of a cedar post that has a base area of 20.60 square inches and a length of 8.25 feet. cedar weighs 23.0 pounds per cubic foot. round the answer to 3 significant digits. 27.1 lb 1.17975 sq ft 1.17975 cu ft 27.1 cu ft

Explanation:

Step1: Convert base area to square feet

The base area is 20.60 square inches. Since 1 square foot = 144 square inches, we divide the area in square inches by 144.
$20.60\div144 = \frac{20.60}{144}\approx0.143056$ square feet.

Step2: Calculate the volume of the cedar post

The cedar post is a rectangular prism (assuming), so volume $V =$ base area $\times$ length. The length is 8.25 feet.
$V = 0.143056\times8.25\approx1.1797125$ cubic feet.

Step3: Calculate the weight of the cedar post

Weight $W =$ volume $\times$ weight per cubic foot. The weight per cubic foot is 23.0 pounds.
$W = 1.1797125\times23.0 = 27.1333875$ pounds.

Step4: Round to 3 significant digits

Rounding 27.1333875 to 3 significant digits gives 27.1 pounds.

Answer:

27.1 lb