Topic 12 Study Guide
1.How many more vertices are there in this cube than in the triangular prism?
A.2 B.3 C.4 D.5
2.Inazo is making a rectangular prism out of a piece of wood in shop class. He wants to paint each face of the rectangular prism a different color. How many colors does he need?
A.4 colors B.5 colors C.6 colors D.7 colors
3.Which solid figure has no curved surfaces?
A.sphere B.cone C.cylinder D.prism
4.Which type of solid figure is shown?
A.rectangular prism B.rectangular pyramid
C.triangular pyramid D.triangular prism
1.Which of the following is the front view of this solid?
A. B. C. D.
2.Which of the following is the side view of this solid?
A. B. C. D.
3.Which of the following is a top view of this solid figure?
A. B. C. D.
4.Which of the following is a top view of this solid figure?
A. B.
C. D.
5.Which of the following is a front view of this solid figure?
A. B. C. D.
1.Russell used 8 cubes to make this square frame that has 3 cubes on each side. If he uses 24 cubes to make a square frame, how many cubes will be on each side of the frame? Think of using objects to help you solve this problem.
A.8 cubes B.7 cubes C.6 cubes D.5 cubes
2.Josephine used 12 cubes to make this square frame that has 4 cubes on each side. If she uses 36 cubes to make a square frame, how many cubes will be on each side of the frame? Think of using objects to help you solve this problem.
A.7 cubes B.8 cubes C.9 cubes D.10 cubes
3.Ron used 24 cubes to make this 3-step staircase. If he uses a total of 84 cubes to make a similar staircase, how many steps will the staircase have? Think of using objects to solve this problem.
A.4 steps B.5 steps C.6 steps D.7 steps
4.Cheryl used 36 cubes to make this 3-step staircase. If she uses a total of 60 cubes to make a similar staircase, how many steps will the staircase have? Think of using objects to solve this problem.
A.4 steps B.5 steps C.6 steps D.7 steps
5.Miguel used 6 cubes to make this 3-step staircase. If he uses a total of 45 cubes to make a similar staircase, how many steps will the staircase have?
A.6 steps B.7 steps C.9 steps D.11 steps
1.Keiko piled some empty boxes in her mother’s garage as shown. How many boxes are in the stack?
A.32 boxes B.56 boxes C.64 boxes D.72 boxes
2.Denise collected boxes of clothes and stacked them on her porch as shown. How many boxes are in the stack?
A.60 boxes B.25 boxes C.12 boxes D.100 boxes
3.The cube shown is made from boxes that are each 1 cubic meter. What is the volume of the prism?
A.16 m 3 B.12 m 3 C.128 m 3 D.64 m 3
4.The rectangular prism shown is made from boxes that are each 4 cubic meters. What is the volume of the prism?
A.16 m 3 B.80 m 3 C.60 m 3 D.47 m 3
5.The rectangular prism shown is made from boxes that are each 2 cubic meters. What is the volume of the prism?
A.36 m 3 B.64 m 3 C.72 m 3 D.48 m 3
1.A box contains 180 wooden cubes. You open the top of the box and count 9 cubes across the front and 4 cubes along a side. How many layers of wooden cubes are in the box?
A.7 layers B.4 layers C.6 layers D.5 layers
2.A diagram of a storage box is below. What is the volume of the box?
A.13 ft 3 B.44 ft 3 C.60 ft 3 D.120 ft 3
3.A diagram of Loretta’s new flower box is below. What is the volume of the box?
A.14 in 3 B.84 in 3 C.31 in 3 D.66 in 3
4.What is the volume of the rectangular prism?
A.29 cm 3 B.22 cm 3 C.198 cm 3 D.176 cm 3
5.What is the volume of the rectangular prism?
A.576 ft 3 B.504 ft 3 C.104 ft 3 D.60 ft 3
1.Calculate the volume of a container measuring 3 inches by 4 inches by 5 inches.
A.70 in³ B.35 in³ C.12 in³ D.60 in³
2.What is the volume of the solid?
A.96 in³ B.192 in³ C.320 in³ D.416 in³
3.What is the volume of the solid?
A.72 in³ B.432 in³ C.672 in³ D.864 in³
4.Carlos is an architect. He wants to build a skyscraper and creates this model to help him plan. Carlos believes that the upper part of the building has a greater volume than the lower part of the building. What is the volume of the upper part of the building?
A.10 in³ B.24 in³ C.14 in³ D.42 in³
5.What is the difference in volume between the two sections of the building?
A.10 in³ B.2 in³ C.0 in³ D.4 in³
1.This figure is made of centimeter cubes. What is the volume of the figure?
A.8 cm³ B.9 cm³ C.10 cm³ D.11 cm³
2.If the dimensions of each cube are doubled, how would the volume of the figure be changed?
A.v x 4 B.v x 2 C.v + 2 D.v x 8
3.What would the volume of the figure be if the dimension of each cube is 2 x 2 x 2?
A. 16 cm³ B. 18 cm³ C. 36 cm³ D. 72 cm³
4.What would the volume of the figure be if the dimension of each cube is 4 x4x4?
A. 576 cm³ B. 144 cm³ C. 72 cm³ D. 9 cm³
5.What could the dimensions of a figure be that has a volume of 8 cm³?
A. 2 x 2 x 3 B. 1 x 1 x 8 C. 1 x 2 x 8 D.1 x 2 x 3