We included **H****MH Into Math Grade 5 Answer Key**** PDF** **Module 5 Lesson 1 Use Unit Cubes to Build Solid Figures** to make students experts in learning maths.

## HMH Into Math Grade 5 Module 5 Lesson 1 Answer Key Use Unit Cubes to Build Solid Figures

I Can build solid figures using unit cubes.

**Spark Your Learning**

Alexandra is volunteering to stack boxes of soup cans at a community food bank. She stacks the boxes to form the right rectangular prism shown. Make visual models to show three other ways that Alexandra can stack the boxes to form right rectangular prisms.

**Describe your visual models.**

Answer:

Explanation:

Given Alexandra is volunteering to stack boxes of soup cans

at a community food bank. She stacks the boxes to

form the right rectangular prism as 2 X 6 X 1 boxes shown.

So made visual models to show three other ways that

Alexandra can stack the boxes to form right

rectangular prisms above as 1. 3 X 1 X 4= 12 boxes,

2. 4 X 1 X 3= 12 boxes and 3. 2 X 1 X 6= 12 boxes.

**Turn and Talk** In what other ways can Alexandra stack the 12 boxes?

Answer:

1. 1 X 12 x 1 = 12 boxes,

2. 12 X 1 X 1 = 12 boxes and

3. 2 x 2 X 3 = 12 boxes,

Explanation:

Alexandra can stack the 12 boxes in this ways also as

1. 1 X 12 = 12 boxes,

2. 12 X 1 = 12 boxes and

3. 2 x 2 X 3 = 12 boxes.

**Build Understanding**

1. Carlos and Kelly are building store displays in the shape of right rectangular prisms using cube-shaped boxes of the same size.

A. Use unit cubes to make visual models of the two displays.

B. How many cubes are in each visual model?

C. Think of the length of the edge of each cube-shaped box as one unit. What are the dimensions of each display?

Answer:

B. 16 units each,

C. Carlos – 2 units X 2 units X 4 units,

Kelly – 4 units X 2 units X 2 units,

Explanation:

Given Carlos and Kelly are building store displays in the

shape of right rectangular prisms using cube-shaped

boxes of the same size.

A. Used unit cubes to make visual models of the two displays

as shown above,

B. In each visual model there are 16 units,

C. Dimensions of each display is

Carlos – 2 units X 2 units X 4 units,

Kelly – 4 units X 2 units X 2 units.

**Connect to Vocabulary**

A cube is a type of right rectangular prism. A unit cube is a cube that has a length, width, and height of 1 unit.

D. How many faces and edges does a unit cube have?

E. How many faces and edges does each display have?

F. How can you place Carlos’s display to make it match Kelly’s display exactly?

Answer:

D. 6 faces, 12 edges,

E. 3 faces, 8 edges,

F. Place it horizontally right,

Explanation:

D. A unit cube has 6 faces and 12 edges,

E. Each display have 3 faces and 8 edges,

F. Place Carlos’s display horizontally right to make

it match Kelly’s display exactly.

**Turn and Talk** How can you tell how many unit cubes make up a right rectangular prism if you cannot see all the unit cubes that make it up?

Answer:

The number of base cubes and number of layers

of unit cubes,

Explanation:

By counting the number of base cubes and

number of layers of unit cubes.

2. For a concert, Angela builds platforms using cube-shaped blocks, each with an edge of 1 unit.

A. Use unit cubes to build a visual model of each platform. How many unit cubes are in each visual model?

B. Which platform has the greatest number of blocks?

Answer:

A.

B. Platform -2 has the greatest number of 8 units blocks,

Explanation:

Given for a concert, Angela builds platforms using cube-shaped blocks,

each with an edge of 1 unit,

A. Used unit cubes to build a visual model of each platform

as shown above, Unit cubes are in each visual model are

Platform 1 – 5 units,

Platform 2 – 8 units,

Platform 3 – 5 units,

B. The greatest number of blocks are in Platform 2 – 8 units blocks.

**Turn and Talk** How many other platforms can you design using 5 unit cubes? Describe how the platforms are the same and different.

Answer:

More than 5 degins,

same – 5 units only,

designs are different,

Explanation:

We can design different platforms using 5 unit

cubes 1 X 5, 5 X 1 and more the platforms are

same as they have total 5 unit cubes only,

The platforms are different as they have different designs,

**Check Understanding Math Board**

**Aron builds store displays using cube-shaped boxes. Count the number of unit cubes used to build the solid figure.**

Question 1.

Answer:

7 units cubes,

Explanation:

As Aron builds store displays using cube-shaped boxes.

Counted the number of unit cubes used to build

the solid figure are 7 units cubes.

Question 2.

Answer:

10 units cubes,

Explanation:

Counted the number of unit cubes used to build

the solid figure are 10 units cubes.

**On Your Own**

Question 3.

**Reason** Using cube-shaped mini cakes of the same size, a pastry chef creates the larger cake shown for a party. If each mini cake serves one guest, how many servings are in the larger cake? Explain how you know.

Answer:

27 servings,

Explanation:

Given using cube-shaped mini cakes of the same size,

a pastry chef creates the larger cake shown for a party.

If each mini cake serves one guest, number of servings

in the larger cake are we have 3 X 3 X 3 chef has length

3 pastries, wide 3 pastries and height 3 pastries so

in larger cake we have 27 pastries which can

be served to 27 guests.

Question 4.

**Open Ended** Describe two different right rectangular prisms that can be made using 18 unit cubes.

Answer:

1. 3 units X 3 units X 2 units,

2. 6 units X 3 units X 1 unit,

Explanation:

Two different right rectangular prisms that can be

made using 18 unit cubes are

1. 3 units X 3 units X 2 units = 18 units and

2. 6 units X 3 units X 1 unit = 18 units.

**Count the number of unit cubes used to build each solid figure.**

Question 5.

Answer:

12 unit cubes,

Explanation:

Counted the number of unit cubes used to build

the given solid figure are 12 unit cubes.

Question 6.

Answer:

18 unit cubes,

Explanation:

Counted the number of unit cubes used to build

the given solid figure are 18 unit cubes.

**I’m in a Learning Mindset!**

What is still unclear about the relationship between rectangular prisms and unit cubes?

___________________

Answer:

Rectangular prism all sides are not equal like

in cube,

Explanation:

A cube has 6 faces which are identical squares

whereas a rectangular prism has 6 faces in which

all the faces are rectangles.

The opposite faces in a rectangular prism are identical.

So in rectangular prism all sides are not equal like

in cube.