Question

1. a triangles three angles always add up to _. a. 45° b. 90° c. 180° d. 360° 32. the circumference of a circle is _. a. the distance around the outside of the circle b. the length of a line passing across the circle through the center c. the length of a line from the center to any point on the circle d. another name for the mathematical constant pi 33. given the equation 1/2 x b x h, the area of a triangular roof - section with a base of 3.5 feet is _. a. 7 ft2 b. 12 ft2 c. 12.25 ft2 d. 24.5 ft2 34. which choice is a metric system unit for volume? a. cu m b. sq m c. cu ft d. sq ft 35. a 9 - inch cube has a volume of _. a. 243 yd3 b. 729 in3 c. 818 in2 d. 1,243 in3

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is always 180°.

Step2: Recall the definition of circumference

The circumference of a circle is the distance around the outside of the circle.

Step3: Calculate the area of the triangle

The area formula of a triangle is $A=\frac{1}{2}bh$. But the height is not given in question 33, so we assume there is an error in presenting the problem. If we assume the height is also 7 feet (not given in the problem but for the sake of using the formula with the given base of 3.5 feet), then $A = \frac{1}{2}\times3.5\times7= 12.25$ square - feet.

Step4: Identify metric volume unit

The metric system unit for volume is cubic meters (cu m). Square meters (sq m) is for area, and cu ft and sq ft are non - metric units.

Step5: Calculate the volume of the cube

The volume of a cube is $V = s^3$, where $s$ is the side length. For a 9 - inch cube, $V=9^3=729$ cubic inches.

Answer:

1. c. 180°
2. a. the distance around the outside of the circle
3. c. 12.25 ft2 (assuming height is 7 feet as height is not given in the problem)
4. a. cu m
5. b. 729 in3