Correct answer: A

The correct answer is $36$ cubic feet.

1. Identify the solid and measurements: Choose the appropriate dimensions, base area, radius, height, or edge length.
2. Apply the volume or surface-area formula: Use $V=6(3)(2)=36$ cubic feet.
3. Check units and reasonableness: Use cubic units for volume, square units for surface area, and check that the result matches the scale of the solid.

Correct answer: B

The correct answer is $2{,}400$ cubic inches.

1. Identify the solid and measurements: Choose the appropriate dimensions, base area, radius, height, or edge length.
2. Apply the volume or surface-area formula: Multiply the dimensions: $20(10)(12)=2{,}400$.
3. Check units and reasonableness: Use cubic units for volume, square units for surface area, and check that the result matches the scale of the solid.

Correct answer: C

The correct answer is $80$ cubic meters.

1. Identify the solid and measurements: Choose the appropriate dimensions, base area, radius, height, or edge length.
2. Apply the volume or surface-area formula: Use $V=10(4)(2)=80$ cubic meters.
3. Check units and reasonableness: Use cubic units for volume, square units for surface area, and check that the result matches the scale of the solid.

Correct answer: D

The correct answer is $8$ cubes.

1. Identify the solid and measurements: Choose the appropriate dimensions, base area, radius, height, or edge length.
2. Apply the volume or surface-area formula: The box volume is 64 and each small cube volume is 8, so $64\\div8=8$.
3. Check units and reasonableness: Use cubic units for volume, square units for surface area, and check that the result matches the scale of the solid.

Correct answer: A

The correct answer is $90\\pi$ cubic centimeters.

1. Identify the solid and measurements: Choose the appropriate dimensions, base area, radius, height, or edge length.
2. Apply the volume or surface-area formula: Use $V=\\pi(3^2)(10)=90\\pi$.
3. Check units and reasonableness: Use cubic units for volume, square units for surface area, and check that the result matches the scale of the solid.

Correct answer: B

The correct answer is $9$ cubic feet.

1. Identify the solid and measurements: Choose the appropriate dimensions, base area, radius, height, or edge length.
2. Apply the volume or surface-area formula: Use $V=6(3)(0.5)=9$ cubic feet.
3. Check units and reasonableness: Use cubic units for volume, square units for surface area, and check that the result matches the scale of the solid.

Correct answer: C

The correct answer is $5$ feet.

1. Identify the solid and measurements: Choose the appropriate dimensions, base area, radius, height, or edge length.
2. Apply the volume or surface-area formula: Solve $s^3=125$; since $5^3=125$, the side is 5 feet.
3. Check units and reasonableness: Use cubic units for volume, square units for surface area, and check that the result matches the scale of the solid.

Correct answer: D

The correct answer is $5$ units.

1. Identify the solid and measurements: Choose the appropriate dimensions, base area, radius, height, or edge length.
2. Apply the volume or surface-area formula: Use $360=9(8)h=72h$, so $h=5$.
3. Check units and reasonableness: Use cubic units for volume, square units for surface area, and check that the result matches the scale of the solid.

Correct answer: A

The correct answer is $1{,}000$ liters.

1. Identify the solid and measurements: Choose the appropriate dimensions, base area, radius, height, or edge length.
2. Apply the volume or surface-area formula: One cubic meter equals 1,000 liters.
3. Check units and reasonableness: Use cubic units for volume, square units for surface area, and check that the result matches the scale of the solid.

Correct answer: B

The correct answer is $6$ inches.

1. Identify the solid and measurements: Choose the appropriate dimensions, base area, radius, height, or edge length.
2. Apply the volume or surface-area formula: Use $120=5(4)h=20h$, so $h=6$.
3. Check units and reasonableness: Use cubic units for volume, square units for surface area, and check that the result matches the scale of the solid.