The area of the trapezoid is 20 in².
Solution:
Given data:
Length of the bottom base = 7 in
Length of the top base = 3 in
Height of the trapezoid = 4 in
Step 1: Area of the trapezoid formula,
Step 2: Substitute the given values in the formula.
Step 3: Add 7 and 3.
Step 4: Divide 10 by 2, we get
Step 5: Multiply 5 by 4, we get
A = 20 in²
The area given in the picture is wrong.
The area of the trapezoid is 20 in².
The mass of brick is 2478 gram
<em><u>Solution:</u></em>
A brick is in the shape of a rectangular prism with a length of 8 inches, a width of 3.5 inches, and a height of 2 inches
Length = 8 inches
Width = 3.5 inches
Height = 2 inches
<em><u>The volume of rectangular prism is given as:</u></em>
Thus volume of brick is 56 cubic inches
<em><u>Convert inches to centimeter</u></em>
1 inch = 2.54 centimeter
Therefore,
56 cubic inches = 56 x 2.54 x 2.54 x 2.54 cubic centimeter
56 cubic inches = 917.676 cubic centimeter
Thus, we get,
volume = 917.676 cubic centimeter
The brick has a density of 2.7 grams per cubic centimeter
Density = 2.7 grams
<em><u>The mass of brick is given by formula:</u></em>
<em><u>Substituting the values we get,</u></em>
Thus mass of brick is 2478 gram