Volume of Pyramids

What is the volume of a pyramid with a base area of 50 cm² and a height of 12 cm?

• 150 cm³

• 200 cm³

• 250 cm³

• 300 cm³

True or False: The volume of a rectangular pyramid is found by multiplying the area of the base by the height and then dividing by 3.

• True

• False

• The volume is found by adding the area of the base and height.

• The volume is found by multiplying the perimeter of the base by the height.

True or False: The height of a pyramid is the perpendicular distance from the base to the apex.

• True

• False

• The height is the length of the base.

• The height is the distance from the apex to the center of the base.

True or False: To find the volume of a triangular prism, you must divide by 3 after multiplying the base area by the height.

• True; you must divide by 3.

• False; you do not divide by 3 for a triangular prism.

• True; the volume is one-third of the base area times height.

• False; the volume is calculated by multiplying the base area by height without division.

If a pyramid has a base area of 24 ft² and a height of 3 ft, what is its volume?

• 12 ft³

• 18 ft³

• 24 ft³

• 30 ft³

What is the volume of a pyramid with a base area of 36 yd² and a height of 6 yd?

• 60 yd³

• 72 yd³

• 84 yd³

• 90 yd³

Which measurement is NOT needed to calculate the volume of a pyramid?

• Base area

• Height

• Slant height

• Base perimeter

What is the volume of a pyramid with a square base of side length 4 m and a height of 9 m?

• 36 m³

• 48 m³

• 54 m³

• 60 m³

What is the volume of a pyramid with a base area of 64 in² and a height of 8 in?

• 170 in³

• 150 in³

• 180 in³

• 160 in³

What is the volume of a pyramid with a base area of 100 m² and a height of 15 m?

• 400 m³

• 500 m³

• 600 m³

• 700 m³