5•5
Mid-Module Assessment Task Lesson
•3
Study Guide
Name
Date
1. Tell the volume of each solid figure made of 1-inch cubes. Specify the correct unit of measure.
a.
b.
b.
2. Jack found the volume of the prism pictured to the right by multiplying 4 × 9 and
then adding: 36 + 36 = 72. He says the volume is 72 cubic inches.
a. Jill says he did it wrong. He should have multiplied the bottom first (2 ×
9) and then multiplied by the height. Explain to Jill why Jack’s method
works and is equivalent to her method.
b. Use Jack’s method to find the volume of this right rectangular prism.
5•5
Mid-Module Assessment Task Lesson
•3
Study Guide
3. If the figure below is made of cubes with 4-inch side lengths, what is its volume? Explain your thinking.
4. The volume of a rectangular prism is 2000 in3. If the area of the base is 50 in2, find its height. Draw and
label a model to show your thinking.
5. What is the total volume of the structure? Explain your thinking.
4 in
NYS COMMON CORE MATHEMATICS CURRICULUM
5•5
Mid-Module Assessment Task Lesson
•3
6. a. Find the volume of the rectangular fish tank. Explain your thinking.
b. If the fish tank is completely filled with water, and then 35,000 cubic centimeters are poured out,
how high will the water be? Give your answer in centimeters, and show your work.
7. Romeo wants to know if the distilled water in this measuring cup will fit into this rectangular storage
container. Explain how you would figure it out without pouring the contents in. If it will fit, how much
more water could the storage container hold? If it will not fit, how much water would be left over?
(Remember 1 cm3 = 1 mL.)
beaker
storage container
NYS COMMON CORE MATHEMATICS CURRICULUM
5•5
Mid-Module Assessment Task Lesson
•3
Name
Date
8. Tell the volume of each solid figure made of 1-inch cubes. Specify the correct unit of measure.
c.
b.
b.
(There are many ways...)
9. Jack found the volume of the prism pictured to the right by multiplying 4 × 9 and
then adding: 36 + 36 = 72. He says the volume is 72 cubic inches.
a. Jill says he did it wrong. He should have multiplied the bottom first (2 ×
9) and then multiplied by the height. Explain to Jill why Jack’s method
works and is equivalent to her method.
Jack thought of it as vertical slices. He found the area of one
slice (4x9). Then he visualized two slices, so he added 36 +
36 to get 72. This is the same answer as you would get by
multiplying (2 x 9) x 4.
d. Use Jack’s method to find the volume of this right rectangular prism.
2x2=4
4+4=8
The volume is 8 ft
5•5
Mid-Module Assessment Task Lesson
•3
Study Guide
10. If the figure below is made of cubes with 4-inch side lengths, what is its volume? Explain your thinking.
First I found the length of each dimension by multiplying the number of
cubes by 4". Then I multiplied length times width times height.
11. The volume of a rectangular prism is 2000 in3. If the area of the base is 50 in2, find its height. Draw and
label a model to show your thinking.
12. What is the total volume of the structure? Explain your thinking.
4 in
I broke the figure into three rectangular prisms. I found the volume of each
prism and added them together.
NYS COMMON CORE MATHEMATICS CURRICULUM
5•5
Mid-Module Assessment Task Lesson
•3
13. a. Find the volume of the rectangular fish tank. Explain your thinking.
c. If the fish tank is completely filled with water, and then 35,000 cubic centimeters are poured out,
how high will the water be? Give your answer in centimeters, and show your work.
14. Romeo wants to know if the distilled water in this measuring cup will fit into this rectangular storage
container. Explain how you would figure it out without pouring the contents in. If it will fit, how much
more water could the storage container hold? If it will not fit, how much water would be left over?
(Remember 1 cm3 = 1 mL.)
beaker
storage container
The beaker has 200 mL of water, which equals 200 cubic centimeters. The storage
container only holds 180 cubic centimeters, so there is not enough space. There will be 20
cubic centimeters left after filling the container.