Volume of Prisms and Cylinders

Volume of Prisms & Cylinders

REMEMBER:

Volume is the space inside a 3D shape! Think, how much water is needed to fill up a pull. Because it is dealing with 3D shapes, you units are going to be cubed!

Also known as cubes

V=lwh

l = length
w = width
h = height

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Rectangular Prism

Labelling

Label the sides as length, width, and height

Drag labels to their correct position on the image

w

h

l

Reorder

What will the equation for this prism be?

• V

• =

• 14 x

• 10 x

• 4.5

1

2

3

4

5

• 1
• 2
• 3
• 4
• 5

Multiple Choice

What is the volume of the prism?

• 630

• 630in

• 630 $$in^2$$

• 630 $$in^3$$

You need to first identify the shape of the base.

V=Bh

B = area of the base shape
h = height

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All Other Prisms

Multiple Choice

What shape is the base of my prism? (hint: its the non rectangle side)

• trapezoid

• triangle

• cirlce

• square

Multiple Choice

What equation will we use to find the area of the base?

• $$A\ =\ \frac{1}{2}h\left(b_1+b_2\right)$$

• $$A=\frac{1}{2}bh$$

• $$A\ =\ \pi r^2$$

• $$A\ =\ s^2$$

Multiple Choice

What is the area of the triangle base?

• 55 $$mm^2$$

• 43.2 $$mm^2$$

• 33 $$mm^2$$

• 29.7 $$mm^2$$

Dropdown

Fill in the equation to find the volume of our prism ​

Select answer

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Multiple Choice

What is the volume of our prism?

• $$475.2mm^2$$

• $$475.2mm^3$$

• $$160.38mm^2$$

• $$160.38mm^3$$

Fun fact - Just a rectangle rolled up (think toilet paper roll)

V = πr²h

r = radius
h = height

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Cylinders

Labelling

Label the radius and the height

Drag labels to their correct position on the image

h

r

Multiple Choice

What is the radius?

• 21

• 10.5

• 11

• 5.5

Dropdown

Fill in the equation for the volume of the cylinder ​

Select answer

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Select answer

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(​

Select answer

)

Multiple Choice

What is the volume of our cylinder?

• 7982.8 $$m^3$$

• 1995.7 $$m^3$$

• 15239.9 $$m^3$$

• 7619.9 $$m^3$$