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This prism has a right triangle for a base. What is the volume of the prism?
A diagram of a rectangle FEBC and triangle ABC that share a side BC. CF equals 8. AC equals 4. AB equals 5. Angle C and angle F are right angles. A dashed line comes from points E and F to meet at point D and goes to point A.
An oblique cylinder with a base of radius 2 units is shown. The top of the cylinder can be obtained by translating the base by the directed line segment \(AB\) which has length \(6\sqrt{2}\) units. The segment \(AB\) forms a \(45^\circ\) angle with the plane of the base. What is the volume of the cylinder?
This water bottle has a base with area \(B\) square inches and a height of \(h\) inches. Tyler thinks the volume of the water bottle is \(Bh\). Elena thinks the volume is less than \(Bh\).
Do you agree with either of them? Explain your reasoning.
This solid has curved sides. All cross-sections parallel to the base are squares measuring 3 units on each side. The height from the base to the top is 10 units. What is the volume of this solid?
30 cubic units
60 cubic units
90 cubic units
There is not enough information to determine the volume.
Each small square represents 1 square unit.
The Pyramid of Khufu in Giza, Egypt, was the world’s tallest free-standing structure for more than 3,500 years. Its original height was about 144 meters. Its base is approximately a square with a side length of 231 meters.
The diagram shows a cross-section created by dilating the base using the top of the pyramid as a center. The cross-section has a side length of 154 meters.