A steel plate has a length of 1.5 feet, a width of 1 foot, and a thickness of 3/4 inch. A drill makes a hole in the plate with a 1-inch diameter. What is the volume of the steel plate? Round your answer to the nearest cubic inch.

Answer: 1 ft3

Step-by-step explanation:

Hi, to answer this question, first we have to calculate the volume of the rectangular plate:

Volume of a rectangular prism: width x length x height (thickness)

Replacing with the values given:

V = 1 x 1.5 x 3/4 = 1.125 ft3

Now, we have to calculate the volume of the hole:

Volume of a cylinder = π (diameter/2) ^2 x height (thickness of the plate)

V = π (1/2) ^2 (3/4) = 0.59 ft3

Finally, we have to subtract the volume of the hole to the volume of the plate:

1.125-0.1875 = 0.53 ft3 = 1 ft3 (rounded)