Correct answer: A

The correct answer is $8$.

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: Volume scales by the cube of the linear factor: $2^3=8$.
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: B

The correct answer is $8$ times.

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 side factor is 2, so volume changes by $2^3=8$.
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: C

The correct answer is $4$.

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: Cylinder volume depends on $r^2$, so doubling r multiplies volume by 4.
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 $300$ cubic 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 $V=Bh=25(12)=300$ cubic units.
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 $12$ 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: Solve $144=12h$, giving $h=12$.
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 $600$ square 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 $SA=6(10^2)=600$.
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 $120$ cubic 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 $V=Bh=15(8)=120$.
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 $96\\pi$.

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 $V=\\pi r^2h=\\pi(4^2)(6)=96\\pi$.
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: A

The correct answer is $7$ 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: Solve $s^3=343$; $7^3=343$.
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 It becomes 27 times as large..

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: Three-dimensional volume scales by $3^3=27$.
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.