Inches: 2 4 6 8 1 21
centimeters: 8 10 12 14 7
Given:
A prism with right triangular base.
Base of triangle = 6 ft
Height of triangle = 8 ft
Height of prism = 7
To find:
The volume of the given prism.
Solution:
The volume of prism is:
...(i)
Where, B is the base area and h is the height of the prism.
In the given figure, the base of the prism is a right angle triangle with legs 6 ft and 8 ft. So, the area of the base is:




Substituting
in (i), we get


Therefore, the volume of the prism is 168 cubic ft.
True. The midsegment of a triangle is halfway up the triangle, and since the top half and the full triangle are similar triangles, its dimensions are proportional.
This means half the height will give half the base (midsegment). So the midsegment is always half the length of the side it's parallel to.
let length of the rectangle be l
length is 6 cm longer than the width, w
l = w + 6
perimeter of rectangle is 72 cm
= 2l + 2w
substitute l = w + 6
2(w+6) + 2w = 72
4w + 12 = 72
4w = 60
x = 15
ans is C. 15 cm