Lou has a solid clay brick in the shape of a rectangular prism with a length of 8 inches, a width of 3.5 inches, and a height of 2.25 inches. If the clay weighs 1.055 oz/in^3, how much does Lou's brick weigh, to the nearest ounce?

The weight of the brick is 60 ounce to the nearest ounce

Step-by-step explanation:

In this question, we are asked to calculate the weigh of Lou's brick given the dimensions of the shape of the brick and the weight of the clay.

To answer this question quite aptly, we need to know exactly the volume of the rectangular prism given the dimensions we have in the question.

To calculate this volume, we simply use the measurements we have to get it.

mathematically the volume of a rectangular prism is simply V = w * h * l

where w, h and l are width, height and length respectively.

now let's calculate!

V = 3.5 * 2.25 * 8 = 63 inches^3

Now we need to know what the brick weigh in ounce. We already have the weight of the clay. now this is equal to the volume of the brick divided by the weight of the clay.

Mathematically this is = 63/1.055 = 59.72 ounce which is 60 ounce to the nearest ounce

60 ounce

Step-by-step explanations:

The volume of a rectangular prism is length multiplied by width and the height.

And if the width is 3.5 inches

Length is 8 inches

Height of 2.25 inches

V = 2.25 * 8 * 3.5

= 63 in³

And since the clay weighs 1.055 oz/in³, the total weight of the clay brick will be derived by dividing the volume of the brick by its weight per in³

63/1.055

= 59.7 and to the nearest whole number = 60 ounce