Formulas
Area
Surface Area
Volume
Other math/Challenging questions
100

the formula for the area of a rectangle

What is l x w?

100

What is the area of a circle with radius 88 meters? Leave your answer in terms of π.

What is 64π square meters ?

100

The radius of a cylinder is 5 inches and the height of the cylinder is 15 inches. Find the area of the cylinder. (Take the value of pi as 3.14)

What is 628 in2?

Radius, r = 5 in

Height of the cylinder, h = 15 in

The surface area of cylinder is: =2πr2 +2πrh or

 = 2πr(r+h)

= 2π × 5 × (5 + 15)

= 2π × 5 × 20

= 2 × 3.14 × 5 × 20

= 628

100

the volume of a figure with the area of the base is 30 cm 2 and the height is 6 cm. 

What is V = Area of base × height
= 30 cm2 × 6 cm
= 180 cm3 

100

Where will (1,1) end up after a rotation of 90 degrees clockwise?

(1,-1)

200

the formula for the area of a triangle

What is 1/2 bh? 

200

the diameter of a circle is 4.54.5 feet. Find its area. Use π=3.1416. 

What is 15.90 square feet ?

200

State true or false.

The total surface area (TSA) of the cylinder is obtained by adding the area of the two bases and the area of the Middle, rectangular part (When Unrolled).

What is True? the TSA of a cylinder is obtained by adding the area of the two bases and the area of the CSA. 

200

the volume of the figure below

What is 169.6 m3?

200

Where will (0,0) after a rotation of 270 degrees?

It'll be in the same part.

300

the formula for the surface area of a cylinder

What is A=2πrh+2πr2 ?

300

Find the area of the circle below with a given radius. Use π=3.14

What is 907.46 square centimeters ?

300

If the height of a cylinder is 7 ft. and the radius is 10 ft., the surface area of the cylinder is:


What is 1068 ft2?

300

The volume of Cylinder where the radius of the base is 14 cm and the height is 10 cm. 

6157.5cm2

300

Is (6,8,10) a pythagorean triple?

Yes!

400

the formula for the circumference of a circle

 2πr or πd

400

Find the area of the circle below with a given diameter. Use the value of π on your calculator.

What is 60.00 square inches ?

400

Samuel has a cylinder with a total surface area of 1728π square units. Find the height of the cylinder if the radius of the base of the circle is 24 units.

What is 12 un2?

The total surface area of the cylinder, A = 1728π; radius (r) = 24; h = ?

Let us substitute the given values in the formula to find the height of the cylinder.

SA = 2πr2 + 2πrh

1728π = 2π24^2 + 2π24h (Do not calculate π)

⇒ 1728π = 1152π +  48πh (divide all terms by 48π)

⇒ 1728π/48π = 1152π/48π  +48πh/48π

⇒ 36 = 24 + h (subtract 24 from each side)

⇒ h = 12

400

the height of the cylinder below

What is 4in.?


400

What is the surface area of a rectangular prism with a length of 10m, a width of 5m and a height of 15m?

What is 550m3?

500

the formula for the area of a circle

What is πr2?

500

The circumference of a circle is 22.222.2 feet. What is its area? π=3.14

What is 39.24 square feet ?

500

If the radius of a cylinder is 12 units, and its height is 14 units, then what is the surface area?

What is 1960.4cm2.

500

the amount of salsa missing from the jar. The missing salsa fills a cylinder with a height of 10 − 4 = 6 centimeters and a radius of 5 centimeters. 

What is 471 cm3?

500

the surface area of a cylinder with a diameter of 6 m and a height of 8 m

What is 207.24 m2?