Formulas
What is the formula for the volume of a rectangular prism?
V= l x w x h
Two bases.
What is the volume of a pyramid with a height of 8 units and a base with side lengths 6 units?
96 units3
What is the volume of a sphere with a radius of 10,000m? (in terms of pi)
1,333,333,333,333.3 (pi)m
True or false -> A cone that sits perfectly on top of a cylinder has the same area of the base as the bottom of the cylinder.
True
What is the formula for the volume of a sphere?
(4/3)(pi)(r)3
A cardboard box has a volume of 240 cm cubed and is 12 cm tall and 4 cm wide. How long is the cardboard box?
length = 5cm
What is the volume of a cone with a diameter of 36 and a height of 9? (In terms of pi)
2916 (pi)
What is the volume of a hemisphere with a diameter of 68? (In terms of pi)
578 (pi)
A stack of boxes has a height of 10 ft. The bottom box has a height of 6 ft a width of 4 ft and a length of 8 ft. The top box has one quarter of the length of the bottom box and the same width. What is the total volume of the two boxes together?
224 ft3
What is the formula for the volume of a pyramid or a cone?
V = (B x h) / 3
What is the radius of a cylinder with a volume of 330 meters cubes and a height of 30 meters rounded to the nearest tenth of a cm?
r = 1.9cm
What is the radius of a cone with a volume of 875 cm cubed and a height of 18 cm?
r = 6.8 cm.
Whats the radius of a sphere with a volume of 225 cm2
r = 4.8 cm
What is the volume of a hemisphere with a diameter of 6 ft? (In terms of pi)
288(pi)
What is the formula for the volume of a cylinder?
V = B x h
What is the height of a triangular prism with a volume of 125 cm and an area of the base of 5?
h = 25cm
The base of a pyramid has the same area as the base of a cylinder, and the cylinder is three times the height of the pyramid. What is the ratio of the volume of the cylinder to the volume of the pyramid?
9:1
How many spheres with volumes of 10 in does it take to fill a sphere with a volume of 100 in?
10
A doll house has a height of 5 in, a length of 8 in, and a width of 10 in. The roof is 7.5 in high. What is the volume of the house in inches?
V = 600 in3
What is the formula for density?
D = m / v
]What is the density of an irregular object that weighs 45 grams and raises the water in a pentagonal prism by 10 cm and has a base that has an apothem of 3cm and a side length of 6 cm?
0.1 grams/centimeters cubed
What is the volume of a trapezoidal pyramid with a height of 824 and the base has two bases of 20 and 12 and a height of 8?
1024 cm3
What is the formula for the surface area of a sphere?
4(pi)r2
(Put numbers in terms of pi) A rocket ship has a radius of 3 m and the height of the cylinder part of the rocket is 10 m. The height of the cone part is 5 m. What is the volume of the rocket?
120(pi) m3