One clay brick weighs 5.76 pounds. The brick is 8 inches long and 2 1/4 inches wide. If the clay weighs 0.08 pounds per cubic inch, what is the volume of the brick? Find the height of the brick.
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Please help! Thx!
number of cubic inches = 5.76 lbs / (.08 lbs per cubic inch) = 75 cubic inches
let the height of brick be h inches
(8)(2.5)(h) = 72
solve for h
let me know what you get
damn thanks i was having trouble with this problem too
To find the volume of the brick, we can use the formula for the volume of a rectangular solid:
Volume = length × width × height
From the given information, we know that the brick is 8 inches long and 2 1/4 inches wide. However, we need to find the height of the brick.
Let's assume the height of the brick is h inches. Then we can write the volume equation as:
Volume = 8 × (9/4) × h
Now, we need to find the value of h by using the given weight of the brick:
Weight = volume × clay weight per cubic inch
From the information provided, the weight of the brick is 5.76 pounds, and the clay weighs 0.08 pounds per cubic inch. Substituting these values into the equation, we get:
5.76 = (8 × 9/4 × h) × 0.08
Simplifying the equation, we have:
5.76 = 18h × 0.08
5.76 = 1.44h
Dividing both sides of the equation by 1.44, we get:
h = 5.76 / 1.44
h ≈ 4
Therefore, the height of the brick is approximately 4 inches.