Worksheets12.5 Problem Solving • Compare Volumes
Total questions: 15
Worksheet time: 8mins
Analyze
Rhoda makes a platform using one-inch cubes. The platform is shaped like a rectangular prism and needs to be 4 inches tall. How many different platforms can Rhoda make using only 16 one-inch cubes?
2
4
3
5
Selena is building a sculpture using 100 one-inch cubes. She wants the sculpture, which is shaped like a rectangular prism, to be 2 inches tall. Which of the following shows a dimension combination that Selena should NOT use?
(25 × 2) × 2
(50 × 1) × 2
(10 × 5) × 2
(10 × 10) × 2
Multi-Step
Jonah has 20 one-inch cubes and uses them all to create a rectangular prism. The height of the prism is 10 inches. Mila uses 20 one-inch cubes to make a rectangular prism that has a height of 2 inches. Which statement is true about the volumes of the two prisms?
They do not have the same volume.
The volumes are the same because both prisms are made using 20 one-inch cubes.
The volumes are the same because Jonah and Mila used 20 cubes for an area of 20 square inches.
The volume of the first prism is five times the volume of the second prism.
John is making a chest that will have a volume of 1,200 cubic inches. The length is 20 inches and the width is 12 inches. How many inches tall should his chest be?
6 in.
5 in.
4 in.
7 in
Cole has a rectangular prism that measures 4 inches by 5 inches by 6 inches. He says that by changing one dimension, he can make a prism with a volume of 240 cubic inches. What are the three ways Cole can do this?
(8 × 5) × 6
(8 x 5) X 4
(4 × 5) × 12
(4 × 10) × 6
Sydney wants to use centimeter cubes to build a rectangular prism with a length of 8 centimeters, a width of 10 centimeters, and a height of 6 centimeters. If the centimeter cubes come in packages of 100, how many packages does Sydney need to make the prism?
4
5
6
7
Rhoda has 27 unit cubes. How many rectangular prisms with different-size bases can she make if she uses all the unit cubes in each prism?
4
5
6
7
Alejandro has 64 centimeter cubes. He uses them to build cubes with different side lengths. How many different cubes can he make?
3
4
5
6
Ava builds a storage box that is 10 cm long, 12 cm wide, and 10 cm tall. She wants to build a second box that is 10 cm long and 20 cm tall. If the volume of both boxes is the same, how wide is the second box?
4
5
6
7
Dominic builds a rectangular prism using centimeter cubes. The volume of his prism is 60 cubic centimeters. Which of the following is NOT a possible combination of dimensions for the prism? 7
(5 × 6) × 3
(2 × 15) × 2
(6 × 10) × 1
(4 × 5) × 3
An architect makes a model of a building with a volume of 1,440 cubic centimeters. The length of the model is 15 centimeters and the width is 12 centimeters. How many centimeters tall is the model?7
10 cm
8 cm
7 cm
12 cm
Erin designs a trophy stand using one-inch cubes. The stand is shaped like a rectangular prism. How many different stands can Erin design using exactly 12 one-inch cubes?
8
3
5
2
The volume of a rectangular prism is 140 cubic inches. How does that volume compare to the volume of a cube that measures 5 inches on each side?
The rectangular prism’s volume is greater than the cube’s volume.
The cube’s volume is greater than the rectangular prism’s volume.
The volumes are equal.
The rectangular prism’s volume is less than the cube’s volume.
Multi-Step
Three rectangular prisms built using centimeter cubes have the following dimensions: Prism A: (6 × 7) × 5; Prism B: (7 × 4) × 6; Prism C: (6 × 8) × 4. Which lists the prisms in order from greatest to least volume?
A; B; C
B; C; A
A; C; B
C; A; B
Multi-Step
Seth builds a rectangular prism with centimeter cubes with a length of 12 centimeters, a width of 6 centimeters, and a height of 4 centimeters. Seth adds more cubes to his prism, so the prism now has a height of 6 centimeters. If the base measurements stay the same, how many more cubes does Seth use?
72 cubes
288 cubes
144 cubes
78 cubes
