The lateral area of a rectangular prism with height of 5 feet is 175 feet squared. What is the perimeter?
The lateral area of a rectangular prism with height of 5 feet is 175 feet squared. What is the perimeter of the base?
Surface area of prism = (S1 + S2 + S3 + S4 +… Sn) x length = perimeter x length
Where S1, S2, S2, … = length of the sides of the base
Therefore perimeter = Surface area/length = 175/5
Perimeter o fbase = 35 feet <<<
Imagine a hollow right prism like a cereal box with the bottom and top cut out. Now if you cut it vertically on one side and flattened it out you would have its lateral area spread out before your.The height of this region is given as 5 and the perimeter of the original laterl portion of the prism is just the distance around it which happens to be the base of the rectangle you have spread out before you. So you just have a rectangle of height 5 and area 175 and you want to find the base. Since A = bh you can solve the equation 175 = b5 by dividing both sides by 5 to get the base and therefore the perimeter of the prisms lateral surface as b = 35 ft.
References :
Surface area of prism = (S1 + S2 + S3 + S4 +… Sn) x length = perimeter x length
Where S1, S2, S2, … = length of the sides of the base
Therefore perimeter = Surface area/length = 175/5
Perimeter o fbase = 35 feet <<<
References :