​Volume & Surface Area Practice

Open Ended

In your own words, describe volume and surface area:

In this lesson we will..

Follow along with some examples together and have an opportunity to try some on your own as well! Follow along with the provided packet.

​Volume & Surface Area Practice - Part 1: Volume

Multiple Choice

Is this shape a prism or a pyramid?

• Prism

• Pyramid

V = Bh

Great! Since it is a prism and we are finding the volume, we will be using the formula:

Fill in the Blank

What is the shape of the base of this figure?

Fill in the Blank

What is the value of B?

Now that we know...

V = Bh to find the final volume!

Now we can use:

because B = lw since it is a rectangle and we do B = (9)(5)

B = 45

Multiple Choice

What is the volume of this rectangular prism?

• $$V\ =\ 585\ m^3$$

• $$V\ =\ 58\ m^3$$

• $$V\ =\ 454\ m^2$$

• $$V\ =\ 585\ m^2$$

Multiple Choice

What is the name of this shape?

• Cone

• Circular Prism

• Cylinder

• Sphere

Multiple Choice

Which volume formula will you use?

• $$V=Bh$$

• $$V=\frac{1}{3}Bh$$

Multiple Choice

What is the area formula for the base of this shape?

• $$A=\pi d$$

• $$A=\pi r^2$$

• $$A=lw$$

• $$A=\frac{1}{2}bh$$

Multiple Choice

What is B in terms of π?

• $$56.25\pi$$

• $$47\pi$$

• $$1943\pi$$

• $$11\pi$$

Fill in the Blank

What is the volume of this cylinder?

.

Multiple Choice

What are the units of measurement for the volume?

• m

• m²

• m³

Multiple Choice

What is the name of this shape?

• Cone

• Circular Prism

• Cylinder

• Sphere

Multiple Choice

Which volume formula will you use?

• $$V=Bh$$

• $$V=\frac{1}{3}Bh$$

Calculate the volume of this shape on your paper, then press continue!

Take a moment...

Multiple Choice

The volume of this cylinder is...

• 1005.31 cm³

• 320 cm³

• 80 cm³

• 4021.24 cm³

Find the volume of this cylinder, then proceed to the next slide.

Your turn!

Multiple Choice

The volume of this cone is...

• 432 in³

• 979.20 in³

• 24429.02 in³

• 2035.75 in³

Multiple Choice

What is the name of this shape?

• Triangular Pyramid

• Square Pyramid

• Triangula Prism

• Square Prism

Multiple Choice

Which volume formula will you use?

• $$V=Bh$$

• $$V=\frac{1}{3}Bh$$

Multiple Choice

The volume of the pyramid is...

• 366 ft³

• 168 ft³

• 186 ft³

• 336 ft³

Find the volume of this cone, then proceed to the next slide.

Your turn!

Fill in the Blank

The volume of the cone is ___________ yd³

.

Now onto Surface area!

Don't forget, surface area you will be finding areas of all of the faces and add them together! Don't forget your formula sheet is really helpful for these!

Multiple Choice

What surface area formula can you use from your formula sheet?

• $$SA=6s^2$$

• $$SA=2lw+2lh+2wh$$

Multiple Choice

What is the surface area of this rectangular prism?

• 400 m²

• 400 m³

• 384 m³

• 27 m²

Multiple Choice

What 2D Shapes make up the surface area of the cylinder?

• 1 circle

  1 rectangle

• 2 circles

  1 rectangle

• 1 circle

  2 rectangles

• 2 circles

  0 rectangles

Multiple Choice

What is the surface area formula of a cylinder?

• $$SA=2\pi r^2+2\pi rh$$

• $$SA=\pi r^2+\pi rl$$

• $$SA=\pi r^2h$$

Multiple Choice

What is the surfaces area of this cylinder?

• 508.94 in²

• 2799.16 in³

• 501.08 in²

Multiple Choice

What is the surface area formula of a cone?

• $$SA=2\pi r^2+2\pi rh$$

• $$SA=\pi r^2+\pi rl$$

• $$SA=\pi r^2h$$

Fill in the Blank

The surface area, to the nearest hundredth, of this cone is ___________ km²

.

Multiple Choice

What 2D Shapes make up the surface area of the pyramid shown?

• 1 Triangle

  1 Square

• 1 Triangle

  4 Squares

• 4 Triangles

  1 Square

• 3 Triangles

  1 Square

Fill in the Blank

What is the area of the base of this figure?

Fill in the Blank

What is the area of ONE of the lateral triangles??

Fill in the Blank

What is the total surface area of this pyramid? _________ ft²

Calculate the surface of this shape on your paper, then press continue!

Take a moment...

Multiple Choice

The surface area of the cylinder is:

• 2238.38 cm²

• 712.5 cm²

• 5610.88 cm²

• 1786 cm²

Calculate the surface of this shape on your paper, then press continue!

Take a moment...

Fill in the Blank

The surface area is ______________ yd²

You are finished!

Great Job :)