A rectangular prism has a length of 8 in and a width of 7 in. The lateral area is 150 square in. What is height of prism?
Have no idea how to do this....please help
lateral area is the area of the four faces.
area=(lw+lh)*2 notice end areas are not in lateral area.
compute h, you know l, w, and area.
Hate to seem stupid, but still don't understand
To find the height of the rectangular prism, we will use the formula for the lateral area of a rectangular prism.
The formula for the lateral area of a rectangular prism is given by the formula:
Lateral Area = 2(lb + bh + lh)
In this case, we are given the values for the length (l = 8 in), the width (b = 7 in), and the lateral area (150 square inches). We need to find the height (h).
We can substitute these known values into the formula and solve for h.
150 = 2(8 * 7 + 7 * h + 8 * h)
Simplifying further, we have:
150 = 2(56 + 7h + 8h)
150 = 2(56 + 15h)
Dividing both sides by 2, we have:
75 = 56 + 15h
Subtracting 56 from both sides, we have:
19 = 15h
Now, we can solve for h by dividing both sides by 15:
h = 19/15
Therefore, the height of the rectangular prism is approximately 1.27 inches.