134k views
1 vote
A raised garden is a rectangular prism with a width of 60 in. And a length that is three times the height "h". The volume of the garden is 103,680 in^3. In inches, what is the height of the raised garden?

User Kapitan
by
8.4k points

1 Answer

0 votes

Answer:

24 in

Explanation:

From the question,

The formula for finding the volume of a rectangular prism is

V = l×w×h...................... Equation 1

Where l = length, w = width, h = height.

From the question, we were told that the length of the prism is three times the height.

i.e,

l = 3h....................... Equation 2

Substitute equation 2 into equation 1

V = 3h×w×h

V = 3h²w............... Equation 3

Given: V = 103680 in³, w = 60 in

Substitute these values into equation 3 and solve for h

103680 = 3(h²)(60)

103680 = 180h²

h² = 103680/180

h² = 576

h =
√(576)

h = 24 in.

Hence the height of the raised garden is 24 in

User Piotr Chowaniec
by
7.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.