Answer:
x=10
Step-by-step explanation:
The two triangles are similar since each triangle is the same shape of right triangle but different sizes. To find x, write a proportion between two equal ratios of side lengths.
Solve by cross multiplying.
28(3x) = 20(4x+2)
84x = 80x + 40
4x = 40
x=10
The weight of solid clay brick is 66.465 ounces, if solid brick with a length of 8 inches, a width of 3.5 inches, and a height of 2.25 inches and the clay weighs 1.055 ounces per cubic inch.
Step-by-step explanation:
The given is,
A solid clay brick in the shape of a rectangular prism.
A length of 8 inches, a width of 3.5 inches, and a height of 2.25 inches.
The clay weighs 1.055 ounces per cubic
Step:1
Formula for volume of rectangular prism,
...................(1)
Where, w - Width of the rectangular prism
h - Height of rectangular prism
l - Length of rectangular prism
From the given,
w = 3.5 inches
h = 2.25 inches
l = 8 inches
Equation (1) becomes,
Volume, V = 63 cubic inches
Step:2
Weight of brick = Volume of brick × Weight per cubic inch
= 66.465 ounces
Weight of brick = 66.465 ounces
Result:
The weight of solid clay brick is 66.465 ounces, if solid brick with a length of 8 inches, a width of 3.5 inches, and a height of 2.25 inches and the clay weighs 1.055 ounces per cubic inch.