Exploring Cube Volume & Right Triangle Mysteries

A cube has a side length of 4 cm. What is the volume of the cube?

• 64 cm³

• 48 cm³

• 80 cm³

• 32 cm³

If a right triangle has legs measuring 3 cm and 4 cm, what is the length of the hypotenuse?

• 7 cm

• 5 cm

• 6 cm

• 8 cm

A cube's volume is 125 cm³. What is the length of one side of the cube?

• 10 cm

• 4 cm

• 6 cm

• 5 cm

A ladder is leaning against a wall, forming a right triangle with the ground. If the base of the ladder is 6 ft from the wall and the ladder is 10 ft long, how high up the wall does the ladder reach?

• 10 ft

• 8 ft

• 6 ft

• 4 ft

A cube has a volume of 512 m³. Calculate the length of one edge of the cube.

• 8 m

• 10 m

• 12 m

• 6 m

In a right triangle, one leg is 5 cm long and the hypotenuse is 13 cm long. What is the length of the other leg?

• 12 cm

• 6 cm

• 8 cm

• 10 cm

A cube's side length is increased by 2 cm. If the original volume was 27 cm³, what is the new volume?

• 81 cm³

• 100 cm³

• 125 cm³

• 64 cm³

A right triangle has a hypotenuse of 15 cm and one leg of 9 cm. What is the length of the other leg?

• 14 cm

• 10 cm

• 12 cm

• 8 cm

If a cube has a volume of 64 m³, what is the total surface area of the cube?

• 128 m²

• 32 m²

• 64 m²

• 96 m²

A right triangle has legs measuring 8 cm and 15 cm. What is the length of the hypotenuse, and how does it relate to the volume of a cube with a side length equal to the hypotenuse?

• The hypotenuse is 20 cm, and the volume of the cube is 8000 cm³.

• The hypotenuse is 10 cm, and the volume of the cube is 1000 cm³.

• The hypotenuse is 25 cm, and the volume of the cube is 15625 cm³.

• The hypotenuse is 17 cm, and the volume of the cube is 4913 cm³.