VOLUME

Front

What is the formula for calculating the volume of a rectangular prism?

Back

Volume = length × width × height.

Front

What is the volume of a cube with a side length of 5 cm?

Back

125 cm³ (since Volume = side³ = 5³ = 125).

Front

If the volume of a cylinder is given by the formula V = πr²h, what do the variables represent?

Back

V = volume, r = radius of the base, h = height of the cylinder.

Front

What is the relationship between the base area and the height of a prism in calculating volume?

Back

Volume = base area × height.

Front

How do you find the volume of an aquarium in cubic feet if its dimensions are 2 ft, 3 ft, and 7 ft?

Back

Volume = 2 × 3 × 7 = 42 cubic feet.

Front

What is the volume of a cube with a volume of 1,000 cm³?

Back

Each side length is 10 cm (since side = cube root of volume).

Front

What is the base of a 3-dimensional figure?

Back

The base is the face on which the figure stands, used in calculating volume.

Front

If a rectangular prism has a volume of 30 cubic inches and a height of 5 inches, what is the area of the base?

Back

Area of the base = Volume / height = 30 / 5 = 6 square inches.

Front

What is the volume of a cylinder with a radius of 3 cm and a height of 5 cm?

Back

Volume = π(3)²(5) = 45π cm³ (approximately 141.37 cm³).

Front

How many unit cubes are needed to fill a prism with a volume of 20 cubic units if the height is 4 units?

Back

5 unit cubes (since base area = volume / height = 20 / 4 = 5).