Volume of Rectangular Prism

NEE

D

DO

VOICE LEVEL 0.
Complete WARM UP
(Question on the
board). Use the
mini whiteboard to
write your answer.

THEN

Be ready to share
your responses to
class.

03.07.2024 WARM UP

Solve each problem below. Show
your work.

1. (2)(5)(3)

2. (1.5)(2)(8)

3. (2.25)(5.5)

4. 15x = 90

Tip:
(a)(b) = a x b

Volume of Rectangular Prisms

March 7, 2024

Grade 7

Mathematics

3

Lesson Vocabulary

Volume

Rectangular Prism

V=Bh

Volume = Base area xheight

cubic units

Essential Question

4

What are the
three parts to
the formula for
volume of a
rectangular
prism and their
variables?

The three parts to the volume
formula for a rectangular
prism are__________.

5

Today, we will learn about solving volume of prisms.
A rectangular prism is unfolded and folded back up below.

What shape is
the base of the

figure?

What other

bases could a

rectangular
prism have?

6

Now, let’s review what volume means. See the animation.

What do you notice?

What is the number

being added each row?

7

Volume is the amount of space occupied by an object.
Volume is measured in cubic units.

The formula for the volume of a
rectangular prism is below.

B = base area

h = height of the figure

V = Bh

Does the formula suggest

add or multiply?

Does the formula suggest

add or multiply?

8

The formula for the volume of a rectangular prism has two
variables. One is capital and one is lowercase.

B = base area

h = height of the figure

V = Bh

What is the shape of the base?

What is the formula for base area?

Dropdown

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

Select answer

​

Select answer

9

Here is an example.

Solve for volume using V=Bh

Step 1: Write the formula

Step 4: Plug in your values
and solve.

Step 2: Identify the base.
Replace B with the formula
for base area

Step 3: Identify the height
of the figure, h.

10

Now your turn.

Solve for volume using V=Bh

Step 1: Write the formula

Step 4: Plug in your values
and solve.

Step 2: Identify the base.
Replace B with the formula
for base area

Step 3: Identify the height
of the figure, h.

Math Response

What is the volume?

Type answer here

Correct Answer: 40

Deg^°

Rad

11

Solve for volume using V=Bh

Step 1: Write the formula

Step 4: Plug in your values
and solve.

Step 2: Identify the base.
Replace B with the formula
for base area

Step 3: Identify the height
of the figure, h.

Math Response

What is the volume?

Type answer here

Correct Answer: 84

Deg^°

Rad

12

Let’s review the activity. Use the word bank to answer.
All the words must be used.

What are the steps you will use to solve for the

volume of a rectangular prism?

Word Bank

formula

base area

height

multiply

cubic units

Drag and Drop

I will first write the​

Placeholder

. Next, I will replace B with the formula for ​

Placeholder

. Then, I will identify the ​

Placeholder

of the figure. I will plug in my numbers and ​

Placeholder

. I will write my answer in ​

Placeholder

.

Drag these tiles and drop them in the correct blank above

formula

base area

height

multiply

cubic units

equation

perimeter

volume

add

square meters

The dimensions of a rectangular prism are

6 cm by 2.5 cm by 3 cm. What is the volume of

the rectangular prism in cubic centimeters?

Tip: The base
numbers are
the first two.
Draw your
own prism.

Can you solve for volume given only words?

13

Draw

The dimensions of a rectangular prism are 6 cm by 2.5 cm by 3 cm. What is the volume of the rectangular prism in cubic centimeters?

Draw the rectangular prism

Math Response

The dimensions of a rectangular prism are 6 cm by 2.5 cm by 3 cm. What is the volume of the rectangular prism in cubic centimeters?

Type answer here

Correct Answer: 45

Deg^°

Rad

Some of the dimensions of a rectangular prism
are shown below. The height of the rectangular

prism is 4 cm.What is the volume of the
rectangular prism in cubic centimeters?

What’s unique about this problem?

1.5 cm

5 cm

The height is
in the words

Some of the dimensions of a rectangular prism
are shown below. The height of the rectangular

prism is 4 cm.What is the volume of the
rectangular prism in cubic centimeters?

14

Math Response

Some of the dimensions of a rectangular prism
are shown below. The height of the rectangular is 4cm. What is the volume of the rectangular prism in cubic centimeters?

Type answer here

Correct Answer: 30

Deg^°

Rad

Two packages came in the mail. They are shown
below. What is the combined volume of the two

packages in cubic feet?

What’s unique about this problem?

You will have to
combine or add
the volumes.

Two packages came in the mail. They are shown
below. What is the combined volume of the two

packages in cubic feet?

15

A number cube shown has an edge length of 3 cm.

What is the volume of the cube?

Clyde solves for the volume with his work below.

Is he correct?

16

A. 8 cm3

B. 24 cm3

C. 512 cm3

D. 64 cm3

17

A number cube has an edge length of 8 cm.

What is the volume of the cube?

Multiple Choice

A number cube has an edge length of 8 cm. 

What is the volume of the cube?

•  8 cm3

•  24 cm3

•  512 cm3

•  64 cm3

A rectangular prism has a height of 10 inches
and a base area of 20 in2. What is the volume

of the rectangular prism in cubic inches?

Tip: Draw
your own
prism.

Can you solve for volume given only two numbers?

18

Draw

A rectangular prism has a height of 10 inches and a base area of 20 in2. What is the volume of the rectangular prism in cubic inches?

Draw you prism to the side.

A rectangular prism has a height of 12 inches
and a base area of 24 in2. What is the volume

of the rectangular prism in cubic inches?

A. 36 in3

B. 288 in3

C. 576 in3

D. 3,456 in3

19

20

Solve for the height if the volume is 36 ft3.

Step 1: Write the formula

Step 4: Plug in your values
and solve.

Step 2: Identify the base.
Replace B with the formula
for base area

Step 3: Identify the
dimensions you know.

What’s different?

?

21

Now your turn. Solve for the height if the volume is 40 ft3.

Step 1: Write the formula

Step 4: Plug in your values
and solve.

Step 2: Identify the base.
Replace B with the formula
for base area

Step 3: Identify the
dimensions you know.

?

A rectangular prism has a volume of 120 cm3
and a base area of 15 cm2. What is the height

of the rectangular prism in inches?

Can you solve for any dimension given only two numbers?

15 cm2

22

A rectangular prism has a volume of 84 cm3

and a height of 7 cm. What is the base area of

the rectangular prism in square cm?

Can you solve for any dimension given only two numbers?

7 cm

23

A rectangular prism has a volume of 64 in3 and
a base area of 16 in2. What is the height of the

rectangular prism in inches?

A. 4 in

B. 48 in

C. 16 in

D. 1,024 in

24

Consider the volume questions from the previous slides

How can you use the answer choices to
help you determine if you are solving for

volume, base area or height?

25