Angles
Area
Cuts & Volume
100
Find the measures of angles x, y, and z without measuring.
Angle x = 180 - 128 = 52 degrees
Angle y = 128 degrees
Angle z = Angle x = 52 degrees
100
Calculate the area of a rectangle with length 30 in and width 10 in.
A = L * W
A = 30 * 10
A = 300 square inches
100
A rectangular pyramid is cut with a plane that is parallel to the pyramid's base. What figure is formed at the cross-section?
It is a rectangle.
200
Draw two angles that are complementary.
(The sum of the angles' measures must equal 90 degrees.)
200
A large circular wall clock has a diameter of 40.0 cm. Find its area to the nearest ten square centimeters.
A=pi*r^2
A=pi*(20)^2
A=pi*(400)
A=1256.64cm^2
Rounded to the nearest ten is :
1260 cm^2
200
Calculate the volume of this water tank in cubic METERS.
In meters, the l, w, & h are 0.8, 0.4, and 0.4.
V = l * w * h
V = (0.8)(0.4)(0.4)
V = 0.128 m^3
300
Lines m and n are parallel. Find the measure of angle B without measuring.
In triangle ABC, the angle at C is 55 degrees (vertical angles). Then, because the angle sum of any triangle is 180 degrees, we get B + 72 + 55 = 180.
B +127 = 180
B = 53 degrees
300
Calculate the area of this trapezoidal plot of land:
A = 1/2 (500 + 900)* 550
A= 1/2 (1400)* 550
A= 700 * 550
A= 385,000 sq. ft.
300
One acre is 4,840 square feet. Use that information to convert an area of 100,000 sq ft to acres. Round your answer to the hundredth of an acre.
100,000 ft^2 * (1 acre)/(4840 ft^2)
= (100,000)/(4840) acres
= 20.661157 acres
approx 20.66 acres
400
Write an equation for the unknown angle. Then solve it. Do not measure any angles.
56 + x + 74 = 180 degrees
x + 130 = 180
x = 50 degrees
400
Calculate the surface area of this cylindrical bucket for toys to the nearest ten square centimeters.
A = pi*r^2
A = pi*(12)^2
A = pi * 144
A = 452.39 cm^2
2*452.39 = 904.78 cm^2
A=L*W
L = C = pi*diameter
L = C = pi * 24 = 75.40
A = 75.40 * 30 = 2,261.95 cm^2
904.78 + 2,261.95 = 3,166.72 cm^2
approx3,170 cm^2
500
An isosceles triangle has an 80-degree top angle and two 11-cm sides. Calculate the angle measure of the base angles.
The two base angles are equal since the triangle is isosceles. So you could write the equation:
x + x + 80 = 180 degrees
2x + 80 = 180
2x = 100
x = 50 degrees (Both angles will be 50 degrees.)