Quiz on Unit Cubes and Division

Ah, behold the grand structure crafted from unit cubes! Which of these statements about this magnificent figure are true? Choose all the correct answers, and let the adventure begin!

• It has 3 layers with 1 unit cube in each layer.

• It has a volume of 9 cubic units.

• It has a volume of 3 cubic units.

• It has 3 layers with 2 unit cubes in each layer.

• It has 3 layers with 3 unit cubes in each layer.

Answer explanation

The figure has 3 layers, each containing 3 unit cubes, totaling 9 unit cubes. Therefore, it has a volume of 9 cubic units and the correct statements are about the volume and the number of cubes in each layer.

Tags

CCSS.RI.5.4

Ah, the thrill of discovery! What do you find when you divide 660 by 15 using the area model?

• 44

• 45

• 46

• 47

Answer explanation

To find 660 ÷ 15 using an area model, divide 660 into groups of 15. 15 goes into 60 four times (15 x 4 = 60), and into 0 six times (15 x 0 = 0). Thus, 660 ÷ 15 = 44, making 44 the correct answer.

Ah, my dear adventurer! Imagine a grand storage box, much like the ones I used on my expeditions. It takes the form of a rectangular prism, with a square base where each side measures 3 feet. The height of this magnificent box reaches 6 feet. Now, tell me, what is the volume of this splendid storage box in cubic feet? Record your answer on the grid. Then fill in the bubbles.

• 54 cubic feet

• 36 cubic feet

• 72 cubic feet

• 45 cubic feet

Answer explanation

To find the volume of the box, use the formula: Volume = base area × height. The base area is 3 ft × 3 ft = 9 sq ft. The height is 6 ft. Thus, Volume = 9 sq ft × 6 ft = 54 cubic feet. The correct answer is 54 cubic feet.

Tags

CCSS.W.5.2D

Ah, my adventurous friends! Which of these mathematical expressions are equivalent to the grand calculation of 368 × 51? Choose all the correct answers, and let the spirit of exploration guide you!

• (368 × 50) + (368 × 1)

• (300 × 51) + (60 × 51) + (8 × 51)

• (368 × 5) + (368 × 1)

• 15,000 + 3,000 + 400 + 300 + 60 + 8

• (300 × 5) + (60 × 5) + (8 × 5) + (300 × 1) + (60 × 1) + (8 × 1)

Answer explanation

The expression 368 × 51 can be rewritten using the distributive property. Both (300 × 51) + (60 × 51) + (8 × 51) and (300 × 5) + (60 × 5) + (8 × 5) + (300 × 1) + (60 × 1) + (8 × 1) correctly represent this.

Ah, the thrill of discovery! Tell me, adventurer, what is the formula to calculate the volume of a rectangular prism in cubic centimeters?

• Length × Width × Height

• 2 × (Length + Width + Height)

• Length + Width + Height

• Length × Width

Answer explanation

The volume of a rectangular prism is calculated by multiplying its Length, Width, and Height. Therefore, the correct formula is Length × Width × Height.

Tags

CCSS.W.5.2D

Ah, the thrill of discovery! What is the product of these numbers, my adventurous friend?

• 91280

• 12345

• 67890

• 54321

Answer explanation

The product of the numbers in the question is 91280, which is the correct answer. The other options do not match the calculated product.

Ah, my adventurous friends! Imagine a soccer team, practicing with the dedication of explorers, for 360 minutes each week of their grand 14-week season. Part A: How many minutes does this intrepid team practice during their entire season? Show your calculations. The team practices _______ minutes during the season.

• 5040

• 5000

• 5200

• 4800

Answer explanation

To find the total practice time, multiply the weekly practice minutes by the number of weeks: 360 minutes/week × 14 weeks = 5040 minutes. Therefore, the team practices 5040 minutes during the season.

Ah, adventure awaits! In our grand soccer league, there are 192 daring players. Each team, a band of 16 brave souls. How many teams, you ask, are there in this league of champions? Show your calculations. There are ____ teams in the league.

• 12

• 10

• 15

• 14

Answer explanation

To find the number of teams, divide the total number of players by the number of players per team: 192 ÷ 16 = 12. Therefore, there are 12 teams in the league.

Ah, my dear adventurer! Using these centimeter unit cubes, what do you reckon is the volume of this grand structure Cecilia has crafted?

• 9 cubic centimeters

• 12 cubic centimeters

• 24 cubic centimeters

• 26 cubic centimeters

Answer explanation

To find the volume, count the unit cubes in Cecilia's figure. The figure consists of 24 unit cubes, so the volume is 24 cubic centimeters. Therefore, the correct answer is 24 cubic centimeters.

Tags

CCSS.W.5.2D

CCSS.RL.5.7

Ah, my dear adventurer! Imagine a tool chest, grand and robust, shaped like a rectangular prism. It stretches 6 feet in length, 3 feet in width, and stands 2 feet tall. Our clever Emma, with her trusty unit cubes, each a perfect 1-foot square, seeks to fill this chest without a single gap or overlap. Now, ponder this: Is it true that the area of the base of this magnificent chest is 18 square feet?

• True

• False

Answer explanation

The area of the base of the tool chest is calculated by multiplying the length and width: 6 feet * 3 feet = 18 square feet. Therefore, the statement is true.