HELP!! Please!
A square pyramid has a volume of 560in. cubed, a base length of 10 in., and a height of 14 in. What is its base width? ( V = one-third lwh)
V= 1/3 lwh
Answers
Answer:
Step-by-step explanation:
Relates to any "rectangular" pyramid, of which, a "square" pyramid is an example.
To say "square" pyramid implies that the base is a square where the length, l, and the width, w. are equal.
Anyway, back to the given problem!
a) Solve for w:
V+=+%281%2F3%29l%2Aw%2Ah Multiply both sides by 3.
3V+=+l%2Aw%2Ah Now divide both sides by l%2Ah
3V%2F%28l%2Ah%29+=+w or highlight%28w+=+3V%2F%28l%2Ah%29%29
b) A "square" pyramid has a volumre of 560 sq.in, a base length of 10 in., and a height of 14 in. FInd the width of the base.
(If it were truly a "square" pyramid, the width would be 10 in.)
Let's apply the formula we just derived for w:
w+=+3V%2F%28l%2Ah%29 Substitute V = 560, l = 10, and h = 14.
w+=+3%28560%29%2F%2810%2A14%29 Evaluate.
w+=+1680%2F140
w+=+12in.