The volume of a rectangular slab of concrete needs to exceed 72cu.ft. If the length is 12ft. and he width is 8ft. How thick does the concrete slab need to be?
Volume of a slab
=Width*length*height
Width=8'
Length=12'
We have then
Volume = 12*8*height >72
Solve for height
To find the thickness of the concrete slab, we need to use the formula for the volume of a rectangular prism, which is given by:
Volume = Length × Width × Height
Here, we know the length is given as 12ft, the width is given as 8ft, and the volume needs to exceed 72 cu.ft. We'll denote the thickness of the slab as 'h'. The formula can be rearranged to find the thickness, as follows:
Volume = Length × Width × Height
72 cu.ft. = 12ft × 8ft × h
To find the thickness, we can rearrange the equation to solve for 'h':
h = 72 cu.ft. / (12ft × 8ft)
h = 72 cu.ft. / 96 sq.ft.
Calculating this, we find:
h = 0.75 ft
Therefore, the concrete slab needs to be at least 0.75 feet thick to have a volume exceeding 72 cu.ft.