We included HMH Into Math Grade 5 Answer Key PDF Module 5 Review to make students experts in learning maths.
HMH Into Math Grade 5 Module 5 Review Answer Key
Vocabulary
Question 1.
Draw lines to match the description to the term.
Answer:
Explanation:
Drawn lines to match the description to the term given as shown above.
Concepts and Skills
Question 2.
Use Tools Find the number of unit cubes used to build the solid figure. Tell what strategy or tool you will use to answer the question, explain your choice, and then find the answer.
Answer:
140 unit cubes,
Explanation:
To answer the given question I count number of unit cubes by length, width and height wise and find the volume and as the volume of the object only tell us the number of unit cubes of the object.
So the figure has length 7 unit cubes, width 4 unit cubes and height 5 unit cubes so volume of the figure is
7 X 4 X 5 = 140 cubic units so the solid figure has 140 unit cubes.
Use the unit given. Find the volume.
Question 3.
________
Answer:
Volume is 288 cubic units,
Explanation:
Given figure has length 6 units,
width 6 units and height 8 units,
so volume = 6 units X 6 units X 8 units = 288 cubic units.
Question 4.
________
Answer:
Volume is 162 cubic units,
Explanation:
Given figure has length 9 units,
width 3 units and height 6 units,
so volume = 9 units X 3 units X 6 units = 162 cubic units.
Question 5.
The box is packed with jewelry boxes that have a volume of 4 cubic inches each. Select all the choices that describe the volume of the large box.
A. 48 jewelry boxes
B. 48 cubic units
C. 48 cu in.
D. 192 jewelry boxes
E. 192 cu in.
F. 192 cu ft
Answer:
E. 192 cu in,
Explanation:
Given the box is packed with jewelry boxes that have a volume of 4 cubic inches each. The volume of the large box is as it has length with 6 boxes, width with 2 boxes and height with 4 boxes,
(6 X 2 X 4) boxes X 4 cubic inches boxes = 192 cubic in.
Matches with E.
Question 6.
Select all the choices that describe a right rectangular prism with a volume equal to 240 cubic units.
A. a cube with a side length of 6 units
B. a base area of 20 square units and a height of 12 units
C. a length of 5 units, a width of 6 units, and a height of 8 units
D. contains exactly 16 smaller prisms with a volume of 15 cubic units each
E. can be filled completely with 4 layers of 6 cubes with no gaps or overlaps
Answer:
B. a base area of 20 square units and a height of 12 units,
C. a length of 5 units, a width of 6 units, and a height of 8 units,
D. contains exactly 16 smaller prisms with a volume of 15 cubic units each,
bits B, C and D matches,
Explanation:
Given to select all the choices that describe a right rectangular prism with a volume equal to
240 cubic units.
A. a cube with a side length of 6 units so
volume = 6 units X 6 units X 6 units = 216 cubic units,
A. will not match,
B. a base area of 20 square units and a height of 12 units,
Volume = area of base X height = 20 sq units X 12 units =
240 cubic units, So B. will match,
C. a length of 5 units, a width of 6 units, and a height of 8 units is
Volume = 5 units X 6 units X 8 ubits = 240 cubic units,
C. will match,
D. contains exactly 16 smaller prisms with a
volume of 15 cubic units each,
Volume of bigger prism is 16 X 15 cubic units =
240 cubic units, D. will match,
E. can be filled completely with 4 layers of 6 cubes with no gaps or overlaps, so Volume = 6 cubes x 4 =
24 cubes or 24 cubic units, E. will not match,
So bits B, C, and D matches.
Question 7.
A truck hauls a trailer with a container in the shape of a right rectangular prism that is 40 feet long, 8 feet wide, and 9 feet high.
What is the volume of the container? ____
Answer:
The volume of the container is 2,880 cubic feet,
Explanation:
Given a truck hauls a trailer with a container in the shape of a right rectangular prism that is
40 feet long, 8 feet wide, and 9 feet high,
so volume of the container is
40 feet X 8 feet X 9 feet = 2,880 cubic feet.
Question 8.
Gina stores 160 cubic inches of blocks in a container shaped like a right rectangular prism that has a base area of 36 square inches and a height of 5 inches. How much empty space remains in the container after all of the blocks are put inside?
Answer:
20 cubic inches will remain in the container after all of the blocks are put inside,
Explanation:
Given Gina stores 160 cubic inches of blocks in a container shaped like a right rectangular prism that has a base area of 36 square inches and a height of 5 inches. Space remains in the container after all of the blocks are put inside is
Container volume is 36 sq in X 5 in = 180 cubic inches,
180 cubic inches – 160 cubic inches = 20 cubic inches.
Find the volume of the composed figure.
Question 9.
________
Answer:
Volume of composed figure is 192 cubic in,
Explanation:
Given to find the volume of composed figure, we separately calculate volumes of top and bottom of prisms then add so base rectangular prism has length 11 in, width 6 in and height 2 in, volume of bottom prism is
11 in X 6 in X 2 in = 132 cubic in, the top prism dimensions are length 2 in, width 6 in and height 5 in(7 in – 2 in), volume of top prism is
2 in X 6 in X 5 in = 60 cubic in, Now the volume of composed figure is 132 cubic in + 60 cubic in = 192 cubic in.
Question 10.
________
Answer:
Volume of composed figure is 480 cubic cm,
Explanation:
Given to find the volume of composed figure,
we separately calculate volumes of top and bottom of prisms
then add so base rectangular prism has length 15 cm,
width 4 cm and height 6 cm,
volume of bottom prism is 15 cm X 4 cm X 6 cm =
360 cubic cm, the top prism dimensions are
length 5 cm, width 4 cm and height 6 cm,
volume of top prism is 5 cm X 4 cm X 6 cm = 120 cubic cm,
Now the volume of composed figure is
360 cubic cm + 120 cubic cm = 480 cubic cm.