Find the height of a rectangular prism with a surface area of 286 inches squared, and a base measuring 63 inches
easy simply 286x2= whatever than do 63x4= whatever your thanks ( come from canada just joking ) your welcome :-)
To find the height of the rectangular prism, we can use the formula for the surface area of a rectangular prism:
Surface Area = 2lw + 2lh + 2wh
Given that the surface area is 286 inches squared and the base measures 63 inches, we can substitute these values into the formula:
286 = 2(63)(h) + 2(63)(w) + 2(w)(h)
Simplifying the equation gives:
286 = 126h + 126w + 2wh
Since we don't have enough information to determine the values of 'w' and 'h', we cannot solve the equation directly.
To find the height of a rectangular prism, we need to use the formula for the surface area of a rectangular prism, which is given by:
Surface Area = 2lw + 2lh + 2wh
In this case, we are given the surface area (286 inches squared) and the base length (63 inches), so we can substitute these values into the formula:
286 = 2(63)h + 2(63)w + 2wh
Simplifying this equation gives us:
286 = 126h + 126w + 2wh
Now, we can rearrange the equation to solve for the height (h):
286 - 126w = 126h + 2wh
286 - 126w - 2wh = 126h
Divide both sides of the equation by 126 to isolate the height:
(286 - 126w - 2wh) / 126 = h
Now we have an equation to solve for h, given that we know the base length and the surface area. You will need to know the value of w to calculate h.