100 ft³
Further explanation
Given:
A rectangular prism has a top face with
- an area of 20 ft², and
- a height of 5 ft.
Question:
What is the volume of this rectangular prism?
The process:
A prism represents a polyhedron with two parallel and congruent called bases. A rectangular prism is a type of prism with the same base and top, which is a rectangular field.
The formula of the volume of a prism is [tex]\boxed{ \ V = area \ of \ base \times height \ }[/tex]
Let us calculate the volume with the base area and height already known. Note that all units of measurement are the same, so the prism volume can be calculated directly. Volume is measured in cubic units.
[tex]\boxed{ \ V = 20 \times 5 \ }[/tex]
[tex]\boxed{\boxed{ \ V = 100 \ ft^3 \ }}[/tex]
Thus, the volume of this rectangular prism is 100 ft³.
Notes:
Recall the volume formula for the rectangular prism with the following information:
- [tex]\boxed{ \ l = length \ }[/tex]
- [tex]\boxed{ \ w = width \ }[/tex]
- [tex]\boxed{ \ h = heigth \ }[/tex]
[tex]\boxed{\boxed{ \ V = l \times w \times h \ }}[/tex]
And also remember the formula of the rectangular prism surface area, i.e.,
[tex]\boxed{\boxed{ \ A = 2(lw + lh + wh) \ }}[/tex]
Learn more
- Find out the area of a parallelogram https://brainly.com/question/4459688
- Find out the area of a trapezoid https://brainly.com/question/2280236
- Find out the area of a cube https://brainly.com/question/12613605#
Keywords: a rectangular prism, has a top face, with an area of 20 ft², a height of 5 ft, base, what is the volume, of this rectangular, the formula, length, width, surface area
