The volume of a rectangular slab of concrete needs to exceed 72 cu. ft. If the length is 12 feet and the width is 8 feet, how thick does the concrete slab need to be?
12*8*thickness>72
would I replace the word "thickness" with 96? 12*8*96 > 72?
(12 * 8)t = 72
96t = 72
t = 72/96
t = 0.75 inches
9” not .75” its cubic feet not cubic inches.
To find out the thickness of the concrete slab, we can use the formula for the volume of a rectangular prism:
Volume = Length x Width x Height
We are given the length (L) as 12 feet and the width (W) as 8 feet. We need to find the height (H) or thickness of the slab.
Now, let's substitute the given values into the formula:
Volume = 12 ft x 8 ft x H
Since the volume needs to exceed 72 cu. ft., we can write this as:
12 ft x 8 ft x H > 72 cu. ft.
To solve for H, we need to rearrange the equation:
H > 72 cu. ft. / (12 ft x 8 ft)
Simplifying the right side of the equation:
H > 6 cu. ft.
Therefore, the concrete slab needs to have a thickness greater than 6 feet in order for the volume to exceed 72 cu. ft.