Lesson 18 Eureka Composite Rectangular Prisms

Lesson 18

Finding the volume of composite solids

We will find the volume of composite right rectangular prisms

Open Ended

What does composite mean?

Multiple Select

page 297 #1

Which of the following is a correct way to decompose the given solid to find its volume?

• A rectangular prism of dimensions 7 cm, 2 cm, and 3 cm,

  and another of dimensions 5 cm, 4 cm, and 2 cm.

• A rectangular prism of dimensions 3 cm, 3 cm, and 2 cm,

  and another of dimensions 8 cm, 2 cm, and 4 cm.

• A rectangular prism of dimensions 5 cm, 4 cm, and 2 cm, and another of dimensions 7 cm,4 cm, and 2 cm.

• A rectangular prism of dimensions 8 cm, 4 cm, and 2 cm, and another of dimensions 7 cm, 2 cm, and 3 cm.

Multiple Choice

page 297 #1

What is the volume of the larger rectangular prism in the decomposition method shown in the image?

• 48 cubic centimeters

• 54 cubic centimeters

• 64 cubic centimeters

• 72 cubic centimeters

Multiple Choice

page 297 #1

What is the volume of the smaller rectangular prism in the decomposition method shown in the image?

• 12 cubic centimeters

• 42 cubic centimeters

• 24 cubic centimeters

• 30 cubic centimeters

Multiple Choice

page 297 #1

What is the volume of the composite solid shown in the image?

• 64 cubic centimeters

• 72 cubic centimeters

• 82 cubic centimeters

• 90 cubic centimeters

Multiple Choice

page 298 #2

What is the volume of the solid shown in the diagram?

• 45 cubic feet

• 49 cubic feet

• 4 cubic feet

• 50 cubic feet

Fill in the Blanks

page 299 #1

What is the volume of the solid in the first diagram?

cubic centimeters

Multiple Choice

page 299 #2

Who is correct in determining the volume of the solid in the second diagram, Blake or Julie?

• Blake

• Julie

• Both are correct

• Neither is correct

Multiple Select

page 300 #3 Which expressions represent the volume of the solid in cubic inches? Choose all that apply.

• (2)(6)(5) + (2)(4)(5) + (2)(2)(5)

• 2(5)(6 + 4 + 2)

• (5)(2)(2)(2)(2)(2)(2)

• 5((2)(6) + (2)(4) + (2)(2))

• (6)(6)(5) – (2)(2)(5) – (2)(2)(5)

Multiple Choice

page 300 #4 Determine the volume of the solid. Show your work in your book.

• 15 cubic feet

• 15.75 cubic feet

• 15.5 cubic feet

• 15.25 cubic feet

Fill in the Blanks

page 300 #5

Determine the volume of the solid. Show your work in the book.

cubic centimeters

Draw

add to the picture

Fill in the Blanks

page 301 # 6

$2\ \frac{2}{3}\div1\ \frac{4}{5}=$

Fill in the Blanks

page 301 #7

$1\ \frac{5}{6}\div1\ \frac{1}{2}$

Fill in the Blanks

page 301 #8

$3\ \frac{1}{2}\div4\ \frac{1}{2}=$

Fill in the Blanks

page 301 #9
$2\ \frac{2}{5}\div1\ \frac{1}{4}=$

Fill in the Blanks

page 301 #10

Calculate the volume of the right rectangular prism.

cubic inches

Multiple Select

page 301 #11

When traveling to Europe, Mr. Sharma exchanged 100 U.S. dollars for 90 euros. What was the exchange rate between U.S. dollars and euros? Choose all that apply.

• 0.9 euros per dollar

• $$\frac{9}{10}$$ euros per dollar

• 0.9 dollars per euro

• $$\frac{9}{10}$$ dollars per euro