Geometry: Area & Volume

2D Geometric Figure Equations

100

What is the equation for the area of a parallelogram?

A = base x height 

200

What is the equation for the area of a triangle?

A = (1/2)bh or bh/2

300

What is the equation for the area of kite?

A = (1/2)d₁*d₂ 

d₁ and d₂ are the diagonals

400

What is the equation for the area of a trapezoid?

A = 1/2 h (b₁ + b₂)

500

What is the equation for the area of a circle?

A = (pi) r²

3D Geometric Figure Equations

100

What is the equation for finding the volume of a prism?

V = B * h

B= area of the base

h= height of solid

200

What is the equation for finding the volume of a pyramid?

V = 1/3 B*h

B= area of the base

h= height

300

What is the equation for finding the volume of cylinder?

V = (pi)*r²*h

r= radius

h= height

400

What is the equation for finding the volume of a cone?

V= 1/3 pi* r² *h

r= radius

h=height

500

What is the equation for finding the volume of a sphere?

V= 4/3 pi * r³

r= radius

Calculate the Area

100

Calculate the area of a parallelogram with length of 5 ft and width of 6.5 ft.

32.5 ft²

200

Calculate the area of a triangle with a height of 5 m and base of 20 m.

50 m²

300

Calculate the area of a trapezoid with a height of 10 in and bases measuring 22 in and 5 in.

135 in²

400

Calculate the area of a rhombus with diagonals measuring 13 inches and 7 inches.

45.5 in²

500

The area of a circle is 144pi m³. What is the radius of the circle?

12 m

Calculate the Volume

100

Find the volume of a prism with a base area of 206 m² and a height of 18 m.

3708 m³

200

Find the volume of a cone with a radius of 15m and a height of 25 m. Round to the nearest tenth (one decimal place).

5890.5 m³

300

Find the volume of a cylinder with a radius of 4 in and a height of 8 in. Round to the nearest tenth (one decimal place).

402.1 in³

400

Find the volume of a sphere with a radius of 6 cm. Round to the nearest tenth (one decimal place).

904.8 cm³

500

The volume of a square pyramid is 56 ft³. The side lengths of the base are 4 cm. What is the height of the pyramid?

10.5 ft

Mix It Up

100

What is the longest side of a right triangle called?

Hypotenuse

200

What formula do we use to find the relationship between the sides of a right triangle?

The Pythagorean Theorem

300

What is the term for half a sphere?

Hemisphere

400

Find the radius of a circle if its area is 36pi ft²

6 ft

500

How much will it cost to install carpet flooring in a room measuring 15 ft long and 21 ft wide if the carpet retails for $22.50 per yd²?

Hint: 3ft = 1 yard

$787.50