SOLUTION: 1. triangular prism with base perimeter 24 cm, base area 24 cm2, and height 15 cm 2. rectangular prism with base perimeter 30 cm, base area 50 cm2, and height 150 cm

Algebra ->  Volume -> SOLUTION: 1. triangular prism with base perimeter 24 cm, base area 24 cm2, and height 15 cm 2. rectangular prism with base perimeter 30 cm, base area 50 cm2, and height 150 cm      Log On


   

Question 134125: 1. triangular prism with base perimeter 24 cm, base area 24 cm2, and height 15 cm
2. rectangular prism with base perimeter 30 cm, base area 50 cm2, and height 150 cm
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
What would you like to do in these problems?
A hint from you would be most helpful, such as..."Please help me find the volumes of the two prisms"
Since the word VOLUME is listed in the problem heading, I'll proceed on the assumption that is what you need help with.
1) Find the volume of the triangular prism whose base perimeter is 24 cm, base area is 24 sq.cm. and whose height is 15 cm.
The formula for the volume of a right triangular prism is given by:
V+=+%281%2F3%29Bh where B = area of the base of the prism and h is the perpendicular height of the prism:
These values are given as:
B = 24 sq.cm. and h = 15 cm. Making the appropriate substitutions, we get:
V+=+%281%2F3%29%2824%29%2815%29
V+=+120cu.cm
For the right rectangular prism, the formula is the same:
V+=+%281%2F3%29Bh, and B = 50 sq.cm and h = 150 cm., so...
V+=+%281%2F3%29%2850%29%28150%29
V+=+2500 cu.cm