A ramp is being constructed with wood and then filled with concrete. How many cubic feet of concrete will be needed to complete the ramp?

Question

asked Jun 6, 2021 119k views

1 Answer

Alex Heyd · Answer 1 · 2021-06-13T05:41:41+0000

Answer:
V=360ft^3

Explanation:

The missing figure is attached.

You can calculate the volume of the concrete that will be needed to complete the ramp with the folllowing formula:

V=Bh

Where "B" is the area of the base and "h" is the heigth.

The base is a triangle, then its area can be found with this formula:

B=(ba)/(2)

Where "b" is the base and "a" is the heigth.

IN this case:

$b=12ft\\a=10ft$

Then:

$B=(12ft*10ft)/(2)\\\\B=60ft^2$

Since:

h=6ft

You get that the volume is:

$V=(60 ft^2)(6ft)\\\\V=360ft^3$