Question

If a rectangular prism with a length of 12 feet and a width of 9 feet has a surface area of 930 square feet, find its height

Answer 1

Answer:

The height of the rectangular prism of length 12 feet, width 9 feet and surface area 930 square feet is 17 feet.

Step-by-step explanation:

Step 1 : A rectangular prism is in the form of a closed cuboid.

The surface area of a closed cuboid is given by :

2(L × W) + 2(L × H) + 2(W × H=

L = Length of the cuboid.

W = Width of the cuboid.

H = Height of the cuboid.

Step 2 : Identify the given values and set the height as h.

W = 9 feet

Length = 12 feet

H = h

Step 3 : Substitute the values in the formula.

SA = 12 × 9 × 2 + 2(12 × h) + 2(9 × h)

= 216 + 24h + 18h

= 42h + 216

Step 4 : Equate this to the given surface area to get the value of h.

216 + 42h = 930

42h = 930 - 216

42h = 714

h = 714/42

h = 17 feet

The height of the rectangular prism is 17 fee.