A closed recycling bin is in the shape of a rectangular box. Find the height of the bin if its length is 18 feet, its width is 8 feet, and its surface area is 496 square feet.
2007-01-16 18:42:33 · 6 answers · asked by salharbi444 1 in Science & Mathematics ➔ Mathematics
SA = 2lw + 2wh + 2lh
496 = 2(18)(8) + 2(8)h + 2(18)h
496 = 288 + 16h + 36h
208 = 52h
h = 4
2007-01-16 18:48:41 · answer #1 · answered by Jim Burnell 6 · 2⤊ 0⤋
The surface area is bottom area, top area and the 4 faces of the rectangular prism or box. Now, the top and bottom are equal to each other. From the given dimensions, the total area for bottom and top is 2x18x8 = 288 sq ft.
Now two of the faces has an area dimension of 2 x 18 x H and the other 2 faces has an area dimension of 2 x 8 x H, where H is the height.
But the entire area is 496 = 288 + 36H + 16H, Doing the algebra, you get H = (496 -288)/52 or H= 4 feet.
2007-01-16 18:56:16 · answer #2 · answered by Aldo 5 · 1⤊ 0⤋
The surface area of a rectangular prism with length, width, and height is 2lw + 2wh + 2hl , or the sum of the areas of each separate rectangle.
Here, the surface area is 496, the length is 18, and the width is 8, giving us:
496 = 2*18*8 + 2*8*h + 2*h*18
496 = 288 + 16h + 36h
208 = 52h
h = 4 ft.
2007-01-16 18:54:41 · answer #3 · answered by Jaqua 2 · 0⤊ 0⤋
SA = 2lw + 2wh + 2lh
496 = 2(18)(8) + 2(8)h + 2(18)h
496 = 288 + 16h + 36h
208 = 52h
h = 4
2007-01-16 19:03:27 · answer #4 · answered by Kinu Sharma 2 · 0⤊ 1⤋
surface area= 2(lb+bh+hl)=496 sq. ft.
so, this is a linear eqn in one unknown, namely h..
we get 2h(l+b)=208, i.e, h x 26= 104..
this leads us to the answer, h= 4ft.
2007-01-16 18:54:24 · answer #5 · answered by pran diabolic 1 · 0⤊ 1⤋
18x 8=___
Then divide that answer by 496
Theres your real answer.
2007-01-16 18:46:54 · answer #6 · answered by Anonymous · 0⤊ 2⤋