2324 surface area and volume review

framing the lesson

​we will

Today we will review our knowledge of 3D shapes when calculating volume or surface area during a quizizz activity.

​i will

explain the difference between Volume, Lateral and Total surface area during a quickwrite.

What have we learned about 3D shapes?

Word Cloud

Using a formula reference material.

write down one formula we have used with 3D shapes.

The MAXIMUM quantity of space (liquid) a shape can hold inside.

​

Volume

Multiple Select

Using your reference materials.

Select all formulas that we have used to calculate volume .

more than one answer.

• $$v=\frac{1}{3}\pi r^2h$$

• $$V=\ \frac{4}{3}\pi r^3$$

• $$S\ =Ph$$

• $$V=\ \pi r^2h$$

Multiple Choice

Pictured is the formula for the volume of a ____________.

• sphere

• cone

• cylinder

• pyramid

Multiple Choice

What is the volume of a sphere with the radius of 4 inches ? Use 3.14 for pi.

• 561.5 in³

• 267.9 in³

• 201 in³

• 803.8 in³

Multiple Choice

You have a globe that has a radius of 11 inches. Find the approximated volume of your globe.

• 572 in³

• 16,717 in³

• 5,572.45 in³

• 7,235.15 in³

Volume of a Cylinder

• V=Bh

• Volume: Area of the Base times the height

• All cylinders have 2 circular base

• The height connects the two parallel bases.

Multiple Choice

What is the volume formula for a CYLINDER?

• $$V=\pi r^2$$

• $$V=\frac{1}{3}\pi r^2h$$

• $$V=lwh$$

• $$V=\pi r^2h$$

Multiple Choice

Find the approximate volume of this shape. Use the pi key.

• 6082.12 cm³

• 276.46 cm³

• 552.93 cm³

• 1520.53 cm³

Multiple Choice

What is the volume of the cylindrical tank? 

• 376.8 ft3
• 3014.4 ft3
• 754 ft3

• 5652 gallons

Multiple Choice

What is the formula for Volume of a Cone?

• V=π r³h
• V=π r²h
• V=(1/3)π r²h
• V=(4/3)π r³

Multiple Choice

V = ?

• 14.13 in³
• 56.52 in³
• 169.56 in³

Multiple Choice

Find the volume of the figure.

• 150.72 cm³
• 75.36 cm³
• 452.16 cm³
• 151 cm³

Multiple Choice

Mr. Quintero has a large plastic cup that he is going to fill with water. The plastic cup is in the shape of a cone as shown. Which is closest to the volume of Mr. Quintero's cup?

• 21 cubic inches
• 63 cubic inches
• 66 cubic inches
• 198 cubic inches

Surface Area

The measurement of AREA that surrounds a shape (surface , outside) .


For example, the amount of wrapping paper you need for a gift.

Multiple Choice

What is surface area?

• Inside of the object
• The sum of all the areas of all the shapes that cover the surface of the object.
• Something Mr. Puente made up?

• Surface area is what you get when you swim above the waters. 

Multiple Choice

Which example requires you to find the surface area?

• Finding out how much water will fill a cylinder
• Finding out how much wrapping paper is needed to cover a present
• Finding the amount a container can hold
• Finding out how much wood is needed to build a fence in your back yard.

Multiple Choice

What is the TOTAL surface area formula for a cylinder?

• SA = πrl + πr²
• SA = 2πrh + 2πr²
• SA = 4πr²
• SA = πr²h

Multiple Choice

Find the TOTAL surface area

• 140.25 cm^2
• 439.82 cm^2
• 219.91 cm^2
• 192.25 cm^2

Multiple Choice

Find the lateral surface area of the prism.

• 100.53 square inches
• 351.86 square inches
• 251.33 square inches
• 50.27 square inches

Multiple Choice

Find the lateral surface area of the cylinder.

• 471.24 square centimeters
• 157.08 square centimeters
• 314.16 square centimeters
• 296.72 square centimeters

Multiple Choice

Lateral surface area is ________________

• The area of just the bases of the prism/cylinder
• The area of all the faces of the prism cylinder
• The area of the sides of the prism/cylinder

Fill in the Blank

type in the formula for TOTAL SURFACE AREA of a prism

=

+

Fill in the Blank

type in the formula for LATERAL SURFACE AREA of a prism

=

Multiple Choice

What is the formula for the area of a triangle

• A=bh

• A=lw

• A=s²

• A=1/2(bh)

Multiple Choice

What is the formula for the area of a Square/rectangle

• A=bh

• A=lwh

• A=s+s

• A=1/2(bh)

Match

Match the following pictures to the correct area.

25 sq cm

20 sq ft

24 sq cm

36 sq in

• 25 sq cm

• 20 sq ft

• 24 sq cm

• 36 sq in

Multiple Choice

The distance around an object is called the 

• area
• perimeter

Open Ended

In your own words , explain how to find the perimeter of the given figure.

Multiple Choice

What is the perimeter?

• 24 sq cm
• 24 cm
• 35 sq cm
• 35 cm

show your work on scratch paper


- draw your bases
- calculate the P perimeter of the base
- identify the h , height of the prism
- calculate B , the Area of the base when needed.

Multiple Choice

What is the lateral surface area of this figure?

• 200 cm ²

• 500 cm ²

• 400 cm ²

• 100 cm ²

Multiple Choice

Find the lateral surface area of the figure shown.

• 672 cm²

• 480 cm²

• 576 cm²

• 864 cm²

Open Ended

EXIT TICKET.

what is the difference between lateral and total surface area of the prism shown. ?