A rectangular prism has a volume of 48 cubic feet and surface area of 88 square feet. what are its dimensions?
plz help me
No, I'm sorry. I'm not a math tutor and I don't know how to figure out this problem.
Please post it again with this subject: Volume and surface area.
ok but one more thing how did u get
96 in 3.14 * 14^2 * 28
3.14 * 196 * 28 = V in cubic feet
the one i was having porblem on
To find the dimensions of the rectangular prism, we need to set up a system of equations based on the given information. Let's assume the length, width, and height of the rectangular prism are represented by l, w, and h, respectively.
First, let's set up an equation for the volume:
Volume = Length × Width × Height
48 = lwh
Next, let's set up an equation for the surface area:
Surface Area = 2lw + 2lh + 2wh
88 = 2lw + 2lh + 2wh
Now, we have a system of two equations:
48 = lwh
88 = 2lw + 2lh + 2wh
To solve this system, we can use substitution or elimination. Let's use substitution:
From the first equation, we can solve for h:
h = 48 / (lw)
Substitute this expression for h in the second equation:
88 = 2lw + 2l(48 / lw) + 2w(48 / lw)
Now, simplify the equation:
88 = 2lw + 96l / w + 96w / l
To make solving this equation easier, let's multiply both sides by lw:
88lw = 2lw^2 + 96l + 96w
Rearrange the equation:
2lw^2 + 96l + 96w - 88lw = 0
This is a quadratic equation in terms of w. We can solve it by factoring, completing the square, or using the quadratic formula.
Once we find the value of w, we can substitute it back into either equation to solve for the other variables, l and h.
I'll leave it to you to solve the quadratic equation and find the dimensions of the rectangular prism.