Formulas
Area
Surface Area
Volume
Word Problems
100
What is the formula for area of a trapezoid?
A= 1/2 x h(b1 + b2)
100
What is the area of a trapezoid with a height of 10 feet, base of 2 feet, and another base of 5 feet?
35 ft2
100
How much paper is needed to create a label for a soup can with a radius of 2.5 cm and a height of 12 cm?
188.4 cm2
100
A rectangular prism has a l= 2.9 cm, w= 3.3 cm, and h=4.7 cm. Determine its volume. (Round to the nearest tenth!)
45 cm3
100
What is the circumference of a bagel with a diameter of 11.6 centimeters? (Use 3.14 for π. Round to the nearest tenth)
36.4 cm
200
What is the formula for area of a triangle?
A= (b x h) / 2
200
What is the area of a circle with a diameter of 12 cm?
113.04 sq cm
200
What is the surface area of a rectangular prism with l= 47 ft, w= 11ft, h= 24ft.?
3818 sq. ft.
200
A base of a triangular prism is 8 cm. The height of the triangle is 6 cm. The length of the whole prism is 10 cm. Find the volume.
240 cm3
200
How much fencing is needed for a rectangular garden with a l=4.5 ft and w= 8 ft ?
25 ft
300
What is the formula for the surface area of a rectangular prism?
SA=2lw+2wh+2lh
300
A mural is being painted on one brick wall of the prayer garden. The space being painted is 15 feet by 23 feet. However, there is a window that will not be painted that is 5 feet by 7 feet. How much space is being used for the mural?
310 ft2
300
What is the surface area of an equilateral triangular prism if the triangle has side lengths of 7 cm, an area of 21 sq cm, and the entire prism has a height of 10 cm?
252 cm2
300
Find the volume of a soup can with a radius of 2.5 cm and a height of 12 cm.
235.5 cm3
300
A drawer is shaped like a rectangular prism. It has a length of 17 inches and a height of 6 inches. The volume is 1,428 cubic inches. Find the width of the drawer.
14 in
400
List the circumference AND area formulas for a circle.
C = 3.14 x d
A= 3.14 x r x r400
A triangle has an area of 60 ft. sq. and a base of 20 ft. What is the height of the triangle?
h= 6 ft.
400
What is the lateral surface area of a rectangular prism with a length of 16 cm, width of 19 cm, and height of 7.5 cm?
525 cm2
400
The volume of a rectangular prism is 144 ft3. The l= 6 ft and w= 3ft. Determine the height.
H= 8ft
400
Suppose the length of each side of a square is decreased by 4 feet. If the perimeter of the square is now 32 feet, what was the original length of each side?
12 ft
500
The formulas for finding the surface area and lateral surface area of a cylinder.
SA=2(pi)(r2) + 2(pi)(r)(h)
LA=2(pi)(r)(h)
500
What is the area of a semicircle with a diameter of 25 inches? (Round to the nearest tenth!)
A = 245.3 sq. inches
500
Find the total surface area of a square pyramid with side lengths of 4 inches and a slant height of 9 inches.
88 sq. inches
500
Each smaller cube within the 3 × 3 cube below has a side length of 3/4 in. What is the volume of the 3 × 3 cube? Round to the nearest tenth of an inch.
11.4 in3
500
The square pyramid has base side lengths of 12 centimeters and a slant height of 15 centimeters. What is the total surface area of the pyramid?
504 in2