SOLUTION: A 3D figure has a right triangular base. The perimeter of the base is 5 linear yards. The area of the base is 1 1/8 yards squared. The volume of the figure is 5 1/16 yards cubed. T
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Question 865703: A 3D figure has a right triangular base. The perimeter of the base is 5 linear yards. The area of the base is 1 1/8 yards squared. The volume of the figure is 5 1/16 yards cubed. The height of the figure is 3 times the length of the height of the base. What are the dimensions of the figures base? What is the height of the figure?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A 3D figure has a right triangular base. The perimeter of the base is 5 linear yards.
The area of the base is 1 1/8 yards squared.
The volume of the figure is 5 1/16 yards cubed.
The height of the figure is 3 times the length of the base.
What are the dimensions of the figures base?
:
Change to improper fractions
9/8 sq/yds area
81/16 cu/yds volume
:
What is the height of the figure?
the height of the figure equals the vol divided by the area of the base
divided by
* = = 4 yds high
:
base = 1/3 the height
* = = 1 yds side of the base
Find the other side (s)of a right triangle using the Area of the triangle
**s =
use decimals here
.5 * 1.5 * s = 1.125
.75s = 1.125
s = 1.125/.75
s = 1.5 yds for the 2nd side too
Find the 3rd side of the triangular base, which has a perimeter of 5
1.5+1.5+s = 5
s = 5-3
s = 2
The base is 1.5 by 1.5 by 2
;
:
Check this by finding the volume
.5*1.5*1.5*4.5 = 5.0625 which is 5 1/16 cu/yds
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