Volume of Rectangular Pyramids

Front

What is the formula for the volume of a rectangular pyramid?

Back

V = (1/3)Bh, where B is the area of the base and h is the height.

Front

How do you find the area of the base of a rectangular pyramid?

Back

Multiply the length and width of the base: A = length x width.

Front

What is the volume of a rectangular pyramid with a base area of 64 cm² and a height of 9 cm?

Back

V = (1/3)Bh = (1/3)(64)(9) = 192 cm³.

Front

True or False: The volume of a pyramid is always one-third the product of the base area and height.

Back

True.

Front

If the base of a rectangular pyramid is 5 cm by 10 cm and the height is 6 cm, what is the volume?

Back

V = (1/3)(5 x 10)(6) = 100 cm³.

Front

What does 'B' represent in the volume formula V = (1/3)Bh?

Back

'B' represents the area of the base of the pyramid.

Front

What is the height of a pyramid?

Back

The height is the perpendicular distance from the base to the apex (top point) of the pyramid.

Front

Calculate the volume of a rectangular pyramid with a base area of 20 m² and a height of 3 m.

Back

V = (1/3)(20)(3) = 20 m³.

Front

What is the relationship between the volume of a rectangular pyramid and its base area?

Back

The volume is directly proportional to the base area; as the base area increases, the volume increases if height remains constant.

Front

If a rectangular pyramid has a volume of 30 cm³ and a base area of 10 cm², what is its height?

Back

h = (3V)/B = (3*30)/10 = 9 cm.