Area, Surface Area, and Volume

Area of 2D shapes

100

A parallelogram has a height of 40 centimeters. The base measures 15 centimeters.

What is the area of this shape?

600 in²

300

A triangle is 6 inches tall. Its base is half of that.

What is the area of the triangle?

9 in²

500

Find the area of this trapezoid.

Height: 4 in                                                               Base₁: 5 in                                                                Base₂: 6 in

22 in²

800

A rectangle's length is 2 times larger than its width.

What is the area of the rectangle if the width measures 3 units?

18 u²

1000

Is finding the area of a trapezium harder than finding the area of a trapezoid?

TRICK QUESTION*

No, they're the same thing. The same shape but spelled differently due to location 

British English: Trapezium

American English: Trapezoid

Volume of 3D shapes

100

A fish tank is 3 feet tall, 7 feet thick, and 2 feet long. 

How many cubic feet can the tank hold?

42 ft³

300

A cube has a length of 4 centimeters.

What is the cube's volume?

64 cm³

500

The area of one square face of a cube is equal to 64 cm². Find the volume of the cube.

DAILY DOUBLE 

512 cm³

800

A rectangular prism of volume 3200 mm3 has a rectangular base of length of 10 mm and width of 8 mm.

 Find the height h of the prism.

40 mm

1000

 A cube has a hole in it. 

Cube: 3 by 3 by 3 

Hole: 2 by 3 by 3 

What is the area of the cube with a hole?

9 u³

Surface area of 3D figures

100

A cube is 1 inch tall. 

What is the cube's surface area?

1 in²

300

What is the formula for finding the surface area of the following rectangular prism? (Unsimplified)

Height: 3 inches

Width: 2 inches

Thickness: 1 inch

( 3 • 2 )2 + ( 3 •  1 )2 + ( 2 • 1 )2

500

Gabby had a triangular prism. The base is a right triangle, the height 4 inches, and the length 2 inches. The prism is 15 inches long. Draw the triangular prism with the height, length, and width labeled.  

I will check visually :)

800

What's the definition of surface area?

Why is it different from volume?

The area of such an outer part or uppermost layer

The surface area of any given object is the area or region occupied by the surface of the object. Whereas volume is the amount of space available in an object. 

1000

Susan has a square pyramid. One side of the area of the base is 25 in². The height of one of the 4 faces measures 10 inches.

With the given information find the surface area of the square pyramid.

225 in²

Using variables & formulas

100

Height: X                                                        Length: X                                                               Width: X

X= 1 

What is the volume for this cube?

1 cubic unit

300

What are TWO formulas for finding the volume of a cube?

Use X as variable

x • x • x

or

x³

500

bh ÷ 2 

This is the formula for what 2D shape?

Triangle

800

What is the formula for a trapezoid?

(b₁+b₂)h ÷ 2

1000

This is the formula for what 2D shape

 (d₁+ d₂) ÷  2                                                                    

Rhombus

Using Pi

100

What's the circumference of a circle with a radius of 4?

25.13 u²

300

A circle has a circumference of 113.04 units.

What is the diameter of the circle?

36 u²

500

Andrea has a coin. The radius of that coin is 1 centimeter. The coin is 1 a centimeter thick.

What is the volume of that coin?

3.14 cm³

800

Anna has a circular piece of paper. It measures 10 inches across. Anna cuts the paper with a hole puncher, now there is a hole with a radius of 1 inch. 

How many inches of paper was lost?

3.14 inches²

1000

A cylinder has a diameter of 4 ft and is 10 ft tall.

What is the volume?

502.65