after moving into the new house a couple wants to have a concrete patio board to support her hot tub the plan calls for 14-ft by 16-ft slab of concrete 4 inches thick. How many cubic feet of concreate will be needed?
the dimensions (in feet) are
14 * 16 * 1/3 = 74 2/3 ft^3
To determine the amount of concrete needed for the patio, we have the dimensions: 14 feet by 16 feet by 4 inches.
First, we need to convert the dimensions to a consistent unit. Since 1 foot is equal to 12 inches, the dimensions of the slab are 14 feet by 16 feet by 4 inches, which can be converted to 168 inches by 192 inches by 4 inches.
Next, we need to convert the dimensions to cubic feet. Since there are 12 inches in a foot, we divide each dimension by 12 to convert it from inches to feet. Thus, the dimensions become 14/12 feet by 16/12 feet by 4/12 feet, which simplifies to 1.17 feet by 1.33 feet by 0.33 feet.
To find the volume of the slab, we multiply the dimensions together: 1.17 feet multiplied by 1.33 feet multiplied by 0.33 feet, which gives us 0.57 cubic feet.
Therefore, the couple will need 0.57 cubic feet of concrete for their patio slab.