Area
Area of a parallelogram with a base of 4 meters and a height of 20 meters.
80 square meters
The volume of a box with a base of 3 feet, a height of 4 feet, and a depth of 5 feet.
60 cubic feet
Two angles that share a common vertex and side.
adjacent angles
What is the sum of angles for a triangle?
180 degrees
Area of a triangle
1/2 x base x height
Area of a triangle with a base of 5 mm and a height of 4 mm.
10 square mm
The volume of a rectangular prism is 100 cubic feet. The length is 5 feet and the width is 4 feet. This is the depth.
5 feet
Two angles that are across from each other when two lines intersect.
vertical angles
ABC is a triangle. If m<A = 31 degrees, and m<B = 65 degrees, what is the measure of angle C?
m<C = 84 degrees
Area of a trapezoid
1/2 x (b1 +b2) x h
Surface area of a rectangular prism that measures 1 inch by 2 inches by 3 inches.
22 square inches
Find the volume of a triangular prism given:
Equilateral triangle base with 6 cm sides and a height of 5.2 cm
Height between the bases is 10 cm
156 cubic cm
Angles X and Y are complementary. If m<X = (2b) and m<Y = (b-18), what is the value of b?
b = 36
Do the measures 45 degrees, 50 degrees, and 85 degrees make a unique triangle?
No
Surface area of any prism
(two times the base area plus the perimeter of the base times the height between the bases)
OR
(two times the base area plus the area of the lateral/non-base sides)
Find the surface area of a triangular prism given:
Equilateral triangle base with 6 cm sides and a height of 5.2 cm
Height between the bases is 10 cm
211.2 square cm
Find the volume of a rectangular pyramid given:
Base sides are 6 inches and 7 inches. Height of the pyramid is 41 inches.
574 cubic inches
Angles P and Q are supplementary. If m<P = (2x+15) and m<Q = (3x-30), what is the m<Q?
m<Q = 87 degrees
Do the side lengths 5in, 6in, and 11in form a triangle?
No
Volume of any prism
Bh
(area of the base times the height between the bases)
The surface area of a square pyramid is 85 square meters. The base length is 5 meters. What is the slant height?
6 meters
The pedestal on which a statue is raised is a rectangular concrete solid measuring 9 FEET long, 9 FEET wide and 6 INCHES high. How much is the cost of the concrete in the pedestal, if concrete costs $70 per cubic YARD?
$105
Angles A and B are vertical angles. If m<A = (9x-1) and m<B = (3x+35), what is the measure of angle A?
m<A = 53 degrees
Classify each triangle by its sides and angles:
1. triangle with all three sides measuring 7 cm
2. triangle with two sides measures 13 in and two angles measuring 40 degrees
3. triangle with sides 3 ft, 4 ft, and 5 ft and two angles measuring 37 degrees and 53 degrees
1. acute equilateral
2. obtuse isosceles
3. right scalene
Volume of any pyramid
1/3 x B x h
(1/3 times the area of the base times the height of the pyramid)