QuestionCalculate the cubic feet of concrete needed for a driveway that is 162 ft long, 6 ft wide, and 4 in deep.

Studdy Solution

STEP 1

Assumptions1. The length of the driveway is162 feet. The width of the driveway is6 feet3. The depth of the driveway is4 inches4. We need to convert the depth from inches to feet because the other dimensions are given in feet5. The volume of concrete required is equal to the volume of the driveway

STEP 2

First, we need to convert the depth of the driveway from inches to feet. There are12 inches in a foot, so we divide the depth by12.
$Depth\, in\, feet = Depth\, in\, inches /12$

STEP 3

Now, plug in the given value for the depth in inches to calculate the depth in feet.
$Depth\, in\, feet =\, inches /12$

STEP 4

Calculate the depth in feet.
$Depth\, in\, feet =4 /12 =0.333\, feet$

STEP 5

Now that we have all dimensions in feet, we can calculate the volume of the driveway. The volume of a rectangular prism (which is the shape of the driveway) is given by the formula $Volume = Length \\times Width \\times Depth$

STEP 6

Plug in the values for the length, width, and depth to calculate the volume.
$Volume =162\, feet \\times6\, feet \\times0.333\, feet$

STEP 7

Calculate the volume of the driveway.
$Volume =162 \\times6 \\times0.333 =323.196\, cubic\, feet$ The driveway will require323.196 cubic feet of concrete.

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