Solution:
Now, assume that the area of one of the square bases is 225 square inches, and the height of
the rectangular prism is 42 inches.
What is the Total Surface Area of the rectangular prism?
What is the Volume?
Given that we need to find the total surface area, we need to find the width of the side of the prism.
Since the Area of a square can be found using the formula, A = , we will use this and the given
information in the problem.
=
= 225 , then
= 225
= √225
= 15
Therefore, the length of each side of the square base, and width of the prism is given as
= 15 inches
In finding the Total Surface Area of the rectangular prism, we will use the formula,
= ℎ + 2 , where P is the Perimeter of the Base, h is the height of the prism, and B is the Area of the
base.
= ℎ+2
= (15 ∗ 4)(42) + 2(225)
= (60)(42) + (450)
= (2520) + (450)
= 2970
= ℎ+2
= (15 ∗ 4)(42) + 2(225) , given that the side of
each square is 15 inches and there are 4 sides. Since
the Area of the base is given in the problem, we simply
multiply it by 2 since there are 2 bases.
= (60)(42) + (450)
= (2520) + (450)
= 2970
Finding the Volume of the Rectangular Prism:
The formula for finding the Volume of a Prism is given as = ℎ, where B is the Area of the base.
= ℎ
= (225)(42)
= 9450