Answer:
343 cm ^3
Step-by-step explanation:
A cube has 6 squares of equal sizes. 294/6 = 49
The area of one square is 49
Since the area is the length squared, the square root of 49 is 7.
Volume of a cube is area times height. 49 x 7 = 343 cm^3
Answer:
132 cm²
Step-by-step explanation:
Consider the shape as a trapezoid with a rectangle added on top.
The area of the trapezoid is (7+19)/2 × 8 =104
The area of the rectangle is 7×4 = 28
Add the two areas: 104+28= 132
OR consider the shape as a tall rectangle with the two triangles added to the sides.
The area of the rectangle is 7(4+8) = 84
The area of the triangles is 8(19-7)/2= 48
[Each triangle is 24 cm²]
Add those areas
84+48=132
Same result: 132 cm²
Answer:
The actual area of the town is 14 miles.
Step-by-step explanation:
Since you know that the scale is 1 inch:4 miles and that the map shows a town with an area of 3.5 inches, you can expressed this as follows:
Scale: 1 inch:4 miles
map area: 3.5 inches
If the actual area is x, you can say that:
3.5:x=1:4
This would be:

Now, you can solve for x:
x=(3.5*4)/1
x=14
According to this, the answer is that the actual area of the town is 14 miles.
Triangle ACB and triangle ABD share one side AB. This means they have one side that is congruent; side AB
Angle ABD = Angle ABC
Angle BAC = Angle BAD
The pair of angles that are equal lie on the side AB
Hence, triangle ABC and triangle ABD are congruent by Angle-Side-Angle (ASA)
Answer: Second option