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Do you remember the formulas for the volume of a prism and the surface area of a prism?
Volume: 91.1 m^3
Surface Area: 121.5m^2
We will start by calculating the volume of the prism before moving on to the surface area.
Let's examine the rectangular prism.
The volume of a rectangular prism with length l, width w, and height h can be calculated using the following formula.
Substitute values
Multiply
Round to 1 decimal place(s)
The volume of the prism is approximately 91.1 cubic meters.
To calculate the surface area of a rectangular prism, we can use the following formula. S=2(l w+l h+wh) The terms inside the parentheses represent the area of the three possible different sized faces. Each term is multiplied by 2 because opposite faces on a rectangular prism have equal dimensions. These are the same dimensions as used above, so we will substitute them into our new formula to calculate S.
Substitute values
Multiply
Add terms
Multiply
The surface area is 121.5 square meters.