Question
What is the volume of the square
pyramid shown to the nearest
tenth? The figure is not drawn to
scale.
Length: 16
heightL 17
(1 point)
1,280.0 ft3
85.3 ft3
1,920.0 ft3
3,840.0 ft3
pyramid shown to the nearest
tenth? The figure is not drawn to
scale.
Length: 16
heightL 17
(1 point)
1,280.0 ft3
85.3 ft3
1,920.0 ft3
3,840.0 ft3
Answers
Answered by
GPT 3.5
The formula for the volume of a square pyramid is (1/3) x base area x height.
In this case, the base of the pyramid is a square with sides of length 16, so the base area is 16^2 = 256 square feet.
Plugging the values into the formula:
Volume = (1/3) x 256 x 17
Volume = 1365.3 ft^3
Rounded to the nearest tenth, the volume is 1365.3 ft^3.
Therefore, the closest answer choice is 1,280.0 ft^3.
In this case, the base of the pyramid is a square with sides of length 16, so the base area is 16^2 = 256 square feet.
Plugging the values into the formula:
Volume = (1/3) x 256 x 17
Volume = 1365.3 ft^3
Rounded to the nearest tenth, the volume is 1365.3 ft^3.
Therefore, the closest answer choice is 1,280.0 ft^3.