SOLUTION: A post is 11 ft. in length, 9 in. square at the bottom, and 4 in. square at the top. Find amount of board feet. 1 board foot is 1 ft. long, 1 ft. wide, and 1 in. thick. Not

Algebra.Com
Question 1130881: A post is 11 ft. in length, 9 in. square at the bottom, and 4 in. square at the top. Find amount of board feet.
1 board foot is 1 ft. long, 1 ft. wide, and 1 in. thick.
Not sure how to solve. Non-homework.

Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.
Use the formula for the volume of a frustum of a square pyramid 


V =  


where a and b are the base and top side lengths of the truncated pyramid, and h is the height. 


In your case  a=  = 3 inches;  b=  = 2 inches  and  h = 11 ft = 11*12 = 132 inches.


Do the rest on your own.


RELATED QUESTIONS

A rectangular poster covers an area of 2 square feet on a bulletin board. The width of... (answered by jim_thompson5910)
What is the number of board feet in a plank 3 inches thick, 1 foot wide and 20 feet... (answered by rfer)
A "board foot" is a piece of lumber that measures 1 ft by 1 ft by 1 in. How many board... (answered by vleith)
At the rate of $2.00 per square foot, the cost of painting the rectangular board with a... (answered by MathLover1)
A carpenter cuts 1 ft 5 in from a board of legnth 14 ft 1 in what is the length of the... (answered by josmiceli)
A 10-foot board is to be cut into 2 pieces whose lengths are in the ratio 4:1. Find the... (answered by stanbon,checkley77)
A sign at is 120 feet long and has an area of 760 square feet. How tall is the... (answered by nerdybill)
What is the exact length and width of a 18 square feet... (answered by ewatrrr)
The bulletin board is in the shape of a square. Find two rational numbers that are within (answered by ikleyn)