a right equilateral triangular prism with base edge length 8ft and height 14 ft, help please dont know how to get the answer
- print Print
- list Cite
Expert Answers
calendarEducator since 2011
write5,348 answers
starTop subjects are Math, Science, and Business
The problem does not ask for volume or total surface area, hence, until the request of the problem will be provided, you may evaluate the followings:
TSA (total surface area) = 3*Area of side + 2*Area of base
The sides of prism are rectangles, hence you need to use the following formula to evaluate the area:
A = length*width `= 14*8 = 112 ft^2`
The base of prism is equilateral triangle, hence you need to use the following formula to evaluate the area:
`A = (l^2*sin 60^o)/2 =gt A = 64*sqrt3/4`
`A = 16*sqrt3 ft^2`
`TSA = (112 + 16*sqrt3) ft^2`
You need to evaluate the volume of right triangular prism such that:
V = A of base*height
`V = 16*sqrt3*14 =gt V = 224sqrt3 ft^3`
Hence, evaluating the TSA and Volume of prism yields `TSA = (112 + 16*sqrt3) ft^2` and `V = 224sqrt3 ft^3` .
Related Questions
- Find the lateral area of an equilateral triangle base right prism with base edge 5 and height 9
- 1 Educator Answer
- A triangular prism of length 10 cm has a volume of 100 cm^3. If the base is an equilateral...
- 1 Educator Answer
- Find the lateral area and volume of the right triangular prism.
- 1 Educator Answer
- The base of a triangular prism is a right triangle with hypotenuse 10 m long and one leg 6 m...
- 1 Educator Answer
- A triangular prism has a volume of 280 cm^3. If the length of the prism is 6 cm and the base is...
- 1 Educator Answer
The area of the equilateral triangle = sqrt(3)*a^2/4 where a is the side
The area of base = sqrt(3)*8^2/4 = 27.71 sq.ft.
If you are interested in the surface area of the prism of height 14 ft then:
Surface area prism = 2*27.71+3*8*14 = 391.42 sq.ft
If you are interested in volume of the prism then:
Volume of prism = 27.71*14 = 387.94 ft3
The surface area of prism is 391.42 ft2
The volume of prism is 387.94 ft3
Student Answers