SAT Subject Test in Math II › Volume
A circular swimming pool has diameter 40 meters and depth meters throughout. Which of the following expressions gives the amount of water it holds, in cubic meters?
The bottom surface of a rectangular prism has area 100; the right surface has area 200; the rear surface has area 300. Give the volume of the prism (nearest whole unit), if applicable.
The radius and the height of a cylinder are equal. If the volume of the cylinder is , what is the diameter of the cylinder?
The width of a box is two-thirds its height and three-fifths its length. The volume of the box is 6 cubic meters. To the nearest centimeter, give the width of the box.
One cubic meter is equal to one thousand liters.
A circular swimming pool is meters in diameter and
meters deep throughout. How many liters of water does it hold?
The above depicts a rectangular swimming pool for an apartment.
On the left and right edges, the pool is three feet deep; the dashed line at the very center represents the line along which it is eight feet deep. Going from the left to the center, its depth increases uniformly; going from the center to the right, its depth decreases uniformly.
In cubic feet, how much water does the pool hold?
One cubic meter is equal to one thousand liters.
A rectangular swimming pool is meters deep throughout and
meters wide. Its length is ten meters greater than twice its width. How many liters of water does the pool hold?
Find the volume of a sphere with a diameter of 10.
The shaded face of the rectangular prism in the above diagram is a square. The volume of the prism is ; give the value of
in terms of
.
Find the volume of a sphere with a surface area of .